find the inverse function of f(x)= 1+squareroot of 1+2x

Answers

Answer 1

Answer:

Therefore the inverse function of  [tex]f(x)=1+\sqrt{1+2x}[/tex] is [tex]\frac{x^2-2x}{2}[/tex]

Explanation:

We need to find the inverse of function [tex]f(x)=1+\sqrt{1+2x}[/tex]

Function Inverse definition :

[tex]\mathrm{If\:a\:function\:f\left(x\right)\:is\:mapping\:x\:to\:y,\:then\:the\:inverse\:functionof\:f\left(x\right)\:maps\:y\:back\:to\:x.}[/tex]

[tex]y=1+\sqrt{1+2x}[/tex][tex]\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y[/tex]

[tex]x=1+\sqrt{1+2y}[/tex]

[tex]\mathrm{Solve}\:x=1+\sqrt{1+2y}\:\mathrm{for}\:y[/tex]

[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}[/tex]

[tex]1+\sqrt{1+2y}-1=x-1[/tex]

Simplify

[tex]\sqrt{1+2y}=x-1[/tex]

[tex]\mathrm{Square\:both\:sides}[/tex]

[tex]\left(\sqrt{1+2y}\right)^2=\left(x-1\right)^2[/tex]

[tex]\mathrm{Expand\:}\left(\sqrt{1+2y}\right)^2:\quad 1+2y[/tex]

[tex]\mathrm{Expand\:}\left(x-1\right)^2:\quad x^2-2x+1[/tex]

[tex]1+2y=x^2-2x+1[/tex]

[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}[/tex]

[tex]1+2y-1=x^2-2x+1-1[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]2y=x^2-2x[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2y}{2}=\frac{x^2}{2}-\frac{2x}{2}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]y=\frac{x^2-2x}{2}[/tex]

Therefore the inverse function of [tex]f(x)=1+\sqrt{1+2x}[/tex] is [tex]\frac{x^2-2x}{2}[/tex]


Related Questions

The main circuit board inside the system uit is called megaboard / true or false

Answers

True I would believe

Which text function capitalizes the first letter in a string of text?
Question 10 options:

UPPER

CAPITAL

FIRST

PROPER

Answers

For python string.capitalize() works


I would think CAPITAL
The answer is supposed to be Upper

A(n) _____ uses spatial and nonspatial data and specialized techniques for storing coordinates of networks of lines (roads, rivers, streets) and reporting zones (zip codes, cities, counties, states).

Answers

Answer:

A geographic information system (GIS) uses spatial and nonspatial data and specialized techniques for storing coordinates of networks of lines (roads, rivers, streets) and reporting zones (zip codes, cities, counties, states).

Most networking media send data using _____ in which data is represented by only two discrete states: 0s and 1s.

A. digital signals

B. contiguous signals

C. ramp signals

D. exponential signals

Answers

Answer:

i think digital signals

Explanation:

A digital signal is a signal that is being used to represent data as a sequence of discrete values; at any given time it can only take on one of a finite number of values.[1][2][3] This contrasts with an analog signal, which represents continuous values; at any given time it represents a real number within a continuous range of values.

Answer: A) Digital signals

Explanation:

Digital signal is a signal that helps in describing about the data in sequential manner in form discrete bands or binary values. The electrical signal containing data is converted into bits that can be represented through two digital values i.e. 0s and 1s.Other options are incorrect because contiguous signal is regular adjacent signal. Ramp signal is represented as increment in magnitude with timeExponential signal is based on sine and cosine signal that is two real time signal.Thus, the correct option is option(A).

What time does the clerk set its clock to?

Answers

Answer:

the correct corresponding time of the time zone the clerk is in

Explanation:

is this a multiple choice?

Most information security incidents will occur because of _________. Select one: a. Users who do not follow secure computing practices and procedures b. Increases in hacker skills and capabilities c. Poorly designed network protection software d. Increasing sophistication of computer viruses and worms

Answers

Answer:

Users who do not follow secure computing practices and procedures

Explanation:

Most data breaches that occur as a result of hacking and cyber-attacks get all the attention. However, the kind of mistakes that employees make in corporate situations can sometimes be very costly. Whether accidental or not, human error is the leading cause of most information security breaches. When you have proper policies, people working in big organizations, for instance, will know how they are to do with them. Organizations should put more effort on its employees. By ensuring that secure computing practices and procedures are followed, it will help guide the workforce more effectively.

Write a program that has a conversation with the user. The program must ask for both strings and numbers as input. The program must ask for at least 4 different inputs from the user. The program must reuse at least 3 inputs in what it displays on the screen. The program must perform some form of arithmetic operation on the numbers the user inputs. Please turn in your .py file as well as a screenshot of your program's output. Please include comments in your code to explain how it works An example program run might look like (have fun with this and be creative): ‘What is your name?’ “Josh” ‘Thanks, Josh. What is your favorite color?’ “green” ‘Mine too. Do you also like Ice Cream?’ “No” ‘Josh, how old are you?’ “40” ‘... and how many siblings do you have?’’ “3” ‘That means you are one of 4 kid(s). Is green the favorite color of anyone else in your house?’

Answers

Answer:

yo im sorry eat my cookie

Explanation

doorkoeeworkwoeroewkrwerewrwe

In recent years the number of arbitrary/remote code execution attacks have skyrocketed. Why is this type of attack so popular with attackers?

Answers

Duh... those Hackermans actually have FULL control over the virus.... MUAHAHAHA

What is a method in OOP? What is a member function?

Answers

Answer:The two pieces are put together and compiled for usage. User defined types provide encapsulation defined in the Object Oriented Programming

Explanation:

The director of IT security is generally in charge of ensuring that the ____________ conforms to policy.

A. business

B. Workstation Domain

C. connectivity

D. infrastructure

Answers

Answer:

the answer is d wish it helps you

What is the correct method for moving a control file (assume you use PFILE)?

A. Issue the ALTER DATABASE RENAME FILE command.

B. Shut down the database; move the control file; modify the CONTROL_FILES parameter in PFILE; and start up the database using PFILE.

C. Copy the control file to a new location; shut down the database; modify the CONTROL_FILES parameter; and start up the database.

D. Shut down the database; delete the control file; start up the database in NOMOUNT mode; issue the CREATE CONTROL FILE command; and start up the database.

Answers

Answer:

b

Explanation:

Logically twisted pair Ethernet employs a bus topology, but physically twisted star-shaped topology True/False

Answers

Answer:false

Explanation:

Are technical skills or people skills more important to the team manager in a software development project?

Answers

Answer:

A well-rounded team manager in a software development project is critical to its success. Having the best developers only gets you so far. Without proper leadership, the project will most likely fail. Developers won't know what direction to go, deadlines won't be met, and the end product will not be created to the specifications as set forth in the project. A software development team manager needs to possess both the proper technical skills to guide the developers when they get stuck, but more importantly have the proper people skills and business process skills to allow the team to work as a well-oiled machine. In this paper, we will look at two different types of team managers and how they affect the software development lifecycle.

Good communication helps

What is the difference between an HTTP POST and an HTTP GET? Give an example of when each would be used ?

Answers

Difference:

An HTTP POST request is used to add new information to a server so it can be stored, and an HTTP GET request is used to retrieve stored information from a server.

Usage Examples:

Let's say you run a web server dedicated to storing football game scores.

A computer at a game that just finished may use an HTTP POST request to send the final score to your web server so you can store it.

Someone at home may be viewing a website for sports scores.  That website's server may send an HTTP GET request to your server asking for the final score of a specific game, and your server would provide that information.

When date is processed into a meaningful form, i becomes _______.

Answers

Answer:

When date is processed into a meaningful form, it becomes information.

Explain the role auditing plays in the context of achieving trustworthy systems.

Answers

The role of auditing in achieving trustworthy systems include the following:1.Building of checkpoints for security throughout..

Rom also called main memory or system memoryis used to stor the essential parts of the operating while the computer is running / true or false

Answers

RAM*

But yes true, it’s a primary, volatile system

. ___________ is the duty of every government that wants to ensure its national security.

A. Cybersecurity

B. Connectivity

C. Policy

D. Defense

Answers

Answer:

your answer is d wish it helps you

D is the correct answer

What do you believe is the future of certification?

Answers

Technology,performance,learning

What is the relation between Information and Data?

Answers

Answer:

In a sentence: data is raw numbers, while information is organized data.

Explanation:

Data is a series of numbers or facts.  A data set is a collection of data that are related (for examples all the students result in your last math exam).  But it's not organized by itself... and rarely mean anything when looked at it in a raw manner.

To make sense of a data collection, you have to analyze it, calculate the mean or median of the data set for example... this is a treatment that has to be done to a data set to give it significance.. after such analysis, the result you have (mean, median, etc..) is a piece of information devired from the data.

Write a program that will askthe user to enter the amount of a purchase. The program should thencompute the state and county sales tax. Assume the state sales tax is4 percent and the county sales tax is 2 percent. The program should displaythe amount of the purchase, the state tax, the county sales tax, the total salestax, and the total of the sale. (which is the sum of theamount of purchase plus the total sales tax). Hint: Use the value 0.02 torepresent 2 percent, and 0.04 to represent 4 percent.

Answers

Info:

I am doing it in Python. Hope it will help you.

Code:

am = float(input('Enter the amount: '))

stx = (am*0.04)

slt= (am*0.02)

tl = stx+slt+stx

print(f'Sales Tax: {slt}, State Tax: {stx}, Grand Total: {tl}')

Result:

Enter the amount: 15

Sales Tax: 0.3, State Tax: 0.6, Grand Total: 1.5

1. Think about the various ways in which you have seen hackers portrayed in popular media over the past few years. Are they heroic characters or dangerous criminals? Do the representations conform to any of the realities of the hacker subculture, or do they simply further stereotypes about hackers as a whole?

Answers

They are definitely not heroic characters, so you can rule that out. Definitely dangerous criminals. If you need me to help further I can. Is that a question or an essay?

Final answer:

Portrayals of hackers in media often simplify or sensationalize the hacker subculture, overlooking its complexity and diversity. Understanding the motivations behind hacking activities is crucial, yet resources tend to focus more on technological defenses than on the individuals involved. There is a need to differentiate between hackers and to develop a nuanced view of their activities and ethical considerations.

Explanation:

Popular media often portray hackers as either noble outlaws or dangerous criminals, leaning into stereotypes that may not accurately reflect the realities of the hacker subculture. This binary representation overlooks the complex motivations and ethical frameworks within which many hackers operate. For instance, while some hackers engage in criminal activities for personal gain, others are driven by political ideologies, aiming to expose corruption or promote transparency, akin to what has been observed with groups like Wikileaks.

There is a growing need to differentiate between various types of hackers, rather than lumping them together in a single, often negative, caricature. Understanding who is hacking and why is crucial, yet, as highlighted in discussions, resources are mainly funneled into technological defenses rather than exploring the psychological and sociological aspects of hacking. This approach fails to address the root causes or motivations behind hacking activities, whether they are for malicious purposes, curiosity, or whistleblowing.

Moreover, the representation of hackers in media fails to capture the diversity within the hacker community, which is not monolithic. Attributes commonly ascribed to hackers, such as being male, bright, and socially withdrawn, might resonate with certain stereotypes but do not universally apply. The comparison of some hackers' behavior to that of corporations, as described by Joel Bakan, suggests a need to critically evaluate and understand the ethical dimensions and the potential for 'psychotic' behavior within both entities.

In the CSMA/CD random access method, if the maximum propagation time is 100 micro seconds and the station has unsuccessfully attempted transmission ten times, the maximum amount of time the station waits before the next attempt to send is:

a. 51,200 micro seconds

b. 204,800 micro seconds

c. 102,400 micro seconds

d. None of the above

Answers

b. 204,800 Micro seconds

What is process and what do you know about process control block?

Answers

hello! mark me brainliest please

Process Control Block is a data structure that contains information of the process related to it. The process control block is also known as a task control block, entry of the process table, etc. ... It also defines the current state of the operating system.

Write an HTML document which contains two text fields, a button, and a div. The first text field should be labeled “Temperature”, and the second should be labeled “Wind Speed”. The button should have the text “Wind Chill” written on it. Write two functions with these headers: function compute() function windChill(tempF, speed) The first function (compute) must be called from the onclick attribute of the button and must do the following: get a temperature from the first text field get a wind speed from the second text field call the second function (windChill) store the value returned by windChill in a variable output the value returned by windChill to the div for the user to see The second function (windChill) must take a temperature in Fahrenheit as a parameter take a wind speed in miles per hour as a parameter calculate the wind chill factor as a temperature in Fahrenheit return the wind chill factor in Fahrenheit In other words, the second function (windChill) must not gather any input from a user and must not output anything for a user to see. Instead it must calculate and return the result which makes this second function very reusable in other projects. The formula for computing the wind chill factor is f = 35.74 + 0.6215 t − 35.75 s0.16 + 0.4275 t s0.16 where f is the wind chill factor in Fahrenheit, t is the air temperature in Fahrenheit, and s is the wind speed in miles per hour at five feet above the ground.

Answers

Answer:

I created a jsfiddle for this: https://jsfiddle.net/tonb/o7uv4cdm/26/

Explanation:

see jsfiddle.

The usual html and body tags are omitted for simplicity. For your stand-alone page you'll have to put them in, as well as additional tags for your inline scripting.

An HTML document with two text fields, a button, and a div is presented to calculate the wind chill factor. JavaScript functions 'compute' and 'windChill' extract user inputs, perform computations, and display the result.

Below is an example of an HTML document that fulfills the requirements of containing two text fields labeled "Temperature" and "Wind Speed", a button titled "Wind Chill", a div to display the result, and the associated JavaScript functions needed to calculate wind chill.

<!DOCTYPE html>
<html>
<head>
<title>Wind Chill Calculator</title>
<script>
 function compute() {
   var tempF = document.getElementById('temperature').value;
   var speed = document.getElementById('windSpeed').value;
   var chill = windChill(tempF, speed);
   document.getElementById('result').innerText = chill;
 }

 function windChill(tempF, speed) {
   var t = parseFloat(tempF);
   var s = parseFloat(speed);
   if (t <= 50 && s > 3) {
     var f = 35.74 + 0.6215 * t - 35.75 * Math.pow(s, 0.16) + 0.4275 * t * Math.pow(s, 0.16);
     return f.toFixed(2);
   } else {
     return "N/A";
   }
 }
</script>
</head>
<body>
<label>Temperature (℉): <input type="text" id="temperature"></label>
<br>
<label>Wind Speed (mph): <input type="text" id="windSpeed"></label>
<br>
<button onclick="compute()">Wind Chill</button>
<div id="result"></div>
</body>
</html>

The compute function is responsible for retrieving values from the input fields, calling the windChill function with those values, and then displaying the result. The windChill function takes the temperature and wind speed, calculates the wind chill factor using the provided formula, and then returns it for display.

What are the differences between Layered and Client-Server Architecture?

Answers

The differences between Layered and Client-Server Architecture is Client-Server Architecture is a shared architecture system where loads of client-server are divided, whereas layered architecture is a software architecture in which the different software components, organized in tiers (layers).

Further explanation

Software architecture is the fundamental structures of a software system. On the application level, the two most common architectures are client/server and layered architecture.

Client-Server Architecture is a shared architecture system where loads of client-server are divided. In client/server architecture, the database system has two parts such as a front-end or a client, and a back-end or a server.

Multitier or layered architecture (often referred to as n-tier architecture) is a software architecture in which the different software components, organized in tiers or layers and it provide such dedicated functionality. Examples of layered architecture are print, directory, or database services.

Learn more

1. Learn more about Client-Server Architecture https://brainly.in/question/9279200

 

Answer details

Grade:  9

Subject: Computers and Technology

Chapter:  software architecture

Keywords:   software architecture, Client-Server Architecture, Layered architecture

what are 2 of system software and how are they used?

Answers

Answer:

System software is software on a computer that is designed to control and work with computer hardware. The two main types of system software are the operating system(Windows,Linux,Mac OS)  and the software installed with the operating system, often called utility software (Anti virus, Disk formatting, Computer language translators) . In some cases, the operating system and utility software depend on each other to function properly.

Some system software is used directly by users and other system software works in the background. System software can allow users to interact directly with hardware functionality, like the Device Manager and many of the utilities found in the Control Panel.

Draw the resistor’s voltage and current phasors at t=15ms. Draw the vectors with their tails at the origin. The orientation of your vectors will be graded. The exact length of your vectors will not be graded.

Answers

Answer: 22tm is the answer

Explanation:

Answer:

Please see attachment

Explanation:

Please see attachment

The thick net medium consisted of a thin coaxial cable True/False

Answers

Answer:

True

Explanation:

The thick net medium consisted of a thin coaxial cable.

What is the ethical danger of using agents in negotiation?

Answers

information sharing, divergent interests, conflicting interests
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