What is the inverse of f(x)= 9x-8

Answers

Answer 1

Answer:

f^-1(x) = (x + 8) / 9

Step-by-step explanation:

Step 1:  Set y to x and x to y

y = 9x - 8

x = 9y - 8

Step 2:  Solve for y

x + 8 = 9y - 8 + 8

(x + 8) / 9 = 9y / 9

(x + 8) / 9 = y

Step 3:  Rename y to f^-1(x)

f^-1(x) = (x + 8) / 9

Answer: f^-1(x) = (x + 8) / 9

Answer 2

The inverse of the function f(x) = 9x - 8 is f^-1(x) = (x + 8) / 9.

To find the inverse of the function f(x) = 9x - 8, follow these steps:

First, replace f(x) with y. So, we have y = 9x - 8.

Next, solve for x. To do this, swap x and y to get x = 9y - 8.

Now, isolate y by adding 8 to both sides, resulting in x + 8 = 9y.

Finally, divide both sides by 9 to solve for y, giving y = (x + 8) / 9. This is the inverse function.

To denote the inverse, we replace y with f-1(x), resulting in f-1(x) = (x + 8) / 9.


Related Questions

please help me i really need your help

Answers

Answer:

Step-by-step explanation:

B

how much wrappping paper do you need to cover a box that is 18 inches by 15 inches by 3 inches

Answers

Answer:

Step-by-step explanation:

So to do this, you would find the surface area of a box. Since it is a rectangular prism, two sides will always have the same area and so there are 3 different areas. 18*15*2 = 540 and 18*3*2 = 108 and 3*15*2 = 90 and 90 + 108 + 540 = 738 inches

Can You Solve This?
6 = 2(1+2) =

Answers

Answer: 6 = 2(1+2), this is true.

Step-by-step explanation:

To solve this, 6 = 2(1 +2) =

This question is to proove that 2(1 +2) = 6

First we open the bracket:

(2 × 1) + (2 × 2)

Multiply 2 by 1 = 2

Multiply 2 by 2 = 4

2 + 4 = 6

I hope this helps.

Answer: hope this helps

6=2x3

6=6

Devaughn is 15 years younger than Sydney. The sum of their ages is 73. What is Sydney’s age?

Answers

Answer:

Sydney is 44 years old

Step-by-step explanation:

Step 1:  Make a system of equations

d = s - 15

d + s = 73

Step 2:  Plug in s - 15 for d in the second equation and solve

s - 15 + s = 73

2s - 15 = 73 + 15

2s  / 2= 88 / 2

s = 44

Answer:  Sydney is 44 years old

Answer:

Sydney is 44. I think, hope this helps!

helppp pleaseeeeeeeeee​

Answers

Answer:

im pretty sure its 14

Step-by-step explanation:

Create a word problem that could be used to describe 8x=48

Answers

Answer:

Alex goes to the shop and buys 4 times a number bananas (X). When he counts how many bananas he has he counts 48. How much is the number x?

Mary mixes white paint and blue paint in the ratio 2:3

She makes a total of 20 litres of paint.

How much more blue paint does she need to add to the mixture so that the ratio of white paint to blue paint becomes 1:7?

Answers

Answer:

44L

Step-by-step explanation:

Mary has 20 liters of paint that have white:blue ratio of 2:3. She wants to make a new mix by adding more blue paint until the ratio becomes 1:7. That means the volume of white paint of the old mid and new mix should be the same.

The volume for the second mix will be:

old mix white paint = new mix white paint

2/(3+2) * 20L = 1/(1+7) * V2

2/5 * 20L= 1/8 V2

8L= 1/8 V2

V2= 8L * 8

V2= 64L

If the new mix volume is 64L and old mix volume is 20L, then the blue paint needed to be added will be: 64L- 20L= 44L

Which answer is right?

Answers

the answer to this problem is (1,3)

Which is greater 1 meter or 1 kilometer?

i need help

Answers

Answer:

1 kilometer

Step-by-step explanation:

1 kilometer = 1000 meters

Therefore, a kilometer is more than a meter.

Answer:  1 kilometer

Answer:1 km

Step-by-step explanation:

1km= 1000m

So 1000m >1m

I NEED HELP ASAP MARK THEM WITH DOTS!!!

Answers

Given data:

[tex]$1 \frac{4}{9} \text { and } 2 \frac{1}{3}[/tex]

Plot the points [tex]1 \frac{4}{9} \text { and } 2 \frac{1}{3}[/tex] on the number line.

Let us plot the first point [tex]1\frac{4}{9}[/tex].

1 unit is completed. So count after 1 (indicated) in the number line.

point after 1 is [tex]1\frac{1}{9}[/tex]

point after [tex]1\frac{1}{9}[/tex] is [tex]1\frac{2}{9}[/tex]

point after [tex]1\frac{2}{9}[/tex] is [tex]1\frac{3}{9}[/tex]

point after [tex]1\frac{3}{9}[/tex] is [tex]1\frac{4}{9}[/tex].

So, move 4 points after 1 in the number line is [tex]1\frac{4}{9}[/tex].

Now plot the point [tex]2\frac{1}{3}[/tex].

To make the denominator 9, multiply and divide numerator and denominator by 3.

[tex]$2 \frac{1}{3}=2 \frac{3}{9}[/tex]

2 unit is completed. So count after 2 (indicated) in the number line.

point after 2 is [tex]2\frac{1}{9}[/tex]

point after [tex]2\frac{1}{9}[/tex] is [tex]2\frac{2}{9}[/tex]

point after [tex]2\frac{2}{9}[/tex] is [tex]2\frac{3}{9}=2\frac{1}{3}[/tex]

So, move 3 points after 2 in the number line is [tex]2\frac{1}{9}[/tex].

The number line is attached below.

What is the solution to
(2.4*10^11)/(1.2*10^9) using scientific notation

Answers

:

xfjgrtjsrjdtyj

erhergqerg3ergtaegqe

If 1 more than 5 times a number is 26, what is the number

Answers

To solve this problem, let's translate the given information into a mathematical equation and then solve for the unknown number.

The problem states that "1 more than 5 times a number is 26." We can represent the unknown number by a variable, let's use "x." The phrase "5 times a number" can be translated to "5x." Hence, "1 more than 5 times a number" becomes "5x + 1."

Now, according to the problem, this expression equals 26. This gives us the following equation:

5x + 1 = 26

To find the value of x, we need to solve this equation for x. Here are the steps to do it:

1. First, we need to isolate the term with x on one side of the equation. We can do this by subtracting 1 from both sides of the equation to get rid of the "+1".

5x + 1 - 1 = 26 - 1

This simplifies to:

5x = 25

2. Next, we need to solve for x by getting rid of the coefficient 5. We do this by dividing both sides of the equation by 5:

5x / 5 = 25 / 5

This simplifies further to:

x = 5

So the number we were looking for is 5.

To summarize, if 1 more than 5 times a number is 26, then the number is 5.

Complete the statement. Round to the nearest hundredth if necessary. 13 km = _ mi?

Answers

Answer: 8.08

Step-by-step explanation:

Simply know that 1 kilometer is about 0.62 miles, then multiply thay by 8.

Please help!! Will give Brainliest

Answers

Answer:

86 square inches

86 in^2

Step-by-step explanation:

Base: 3 × 10 = 30

Rectangle Sides: 2.5 × 10 = 25 (×2 = 50)

Triangle Sides: 2 × 3 = 6 (÷2 ×2 = 6)

Add: 30 + 50 + 6 = 86

The answer is 86inches squared

Which of the following values are not in the range of the function f(x)=x^2?

Answers

Step-by-step explanation:

Provide the values...........

What is the answer to x+4=4x-17

Answers

Answer:

x=7

Step-by-step explanation:

x+4=4x-17

4=3x-17

21=3x

x=7

Write the standard form of the equation of an exponential function Y equals 10^xthat has been reflected over the X axis shifted write three and down five

Answers

Answer:

[tex]y = - {10}^{x - 3} - 5[/tex]

Step-by-step explanation:

The parent exponential function given to us is

[tex]y = f(x)= {10}^{x} [/tex]

If this function is reflected over the x-axis, shifted right 3 units and down 5 units, then it becomes:

[tex]y = g(x) = - f(x - 3) - 5[/tex]

This implies that:

[tex]y = g(x) = - {10}^{x - 3} - 5[/tex]

where the negative multplier indicates reflection over x-axis, x-3, indicates shift to the right 3 units, and -5 indicates downward shift 5 units

A printer is printing photos, for every 6 photos, the printer takes 2 minutes

Answers

Whats the question? It prints 3 photos a minute.

In the figure shown, which pair of angles must be complementary?

Answers

Answer:

s and p

Step-by-step explanation:

s and p

there is a right angle side shown

so s and p are complementary

right angle triangle =90°

so angle √sqp

Answer:

PQT & SQT

Step-by-step explanation:

PQT and SQT

Because they should add up to 90

What is an equation of the line that passes through the point (7, -7) and is perpendidular to the line x - 2y = 2?​

Answers

Answer:

y= -2x +7

Step-by-step explanation:

Please see attached picture for full solution.

A manufacturer uses 3/4 yard of fabric to make each skirt. How many yards of fabric will the manufacturer use to make 4 skirts ? 7 skirts ? 9 skirts

Answers

Answer:

3 yards,5.25 yard,6.75 yards

Step-by-step explanation:

Given,

Each skirt required 3/4 yards fabric

Solution,

1 skirt required fabric =3/4 yards

4 skirts required fabric=4×3/4 yards=3 yards

7 skirts required fabric =7×3/4 yards=21/4 yards=5.25 yards

9 skirts required fabric=9×3/4 yards=27/4 yards=6.75 yards

Final answer:

To find out how many yards of fabric will be used, multiply the number of skirts by the amount of fabric needed for each skirt. For 4 skirts, 3 yards of fabric will be used. For 7 skirts, 5.25 yards will be used. For 9 skirts, 6.75 yards will be used.

Explanation:

To find out how many yards of fabric will be used to make a certain number of skirts, we can multiply the number of skirts by the amount of fabric needed for each skirt. In this case, 3/4 yard of fabric is needed for each skirt.

So, to find out how many yards of fabric will be used to make 4 skirts, we can multiply 4 by 3/4:

4 x 3/4 = 12/4 = 3 yards.

To find out how many yards of fabric will be used to make 7 skirts, we can multiply 7 by 3/4:

7 x 3/4 = 21/4 = 5.25 yards.

To find out how many yards of fabric will be used to make 9 skirts, we can multiply 9 by 3/4:

9 x 3/4 = 27/4 = 6.75 yards.

What is the 12th term of the geometric sequence
-4, -12, -36

Answers

Answer:

-708,588

Step-by-step explanation:

If you continue the sequence by multiplying each term by 3, you will eventually get -708,588 as the 12th term.

Edwin fills 15 test tubes with a solution. Each test tube contains 150 milliliters of solution.
How many liters of solution in all is there in the test tubes?

A.2.25 L

B.22.5 L

C.225 L

D.2,250 L

Answers

Step-by-step explanation:

do 150ml*15 tubes is 2,250 ml

2,250/1000 is 2.25L (1L =1000ml is multiply by 1000)

There is 2.25 liter of solution in all tubes.

Edwin fills 15 test tubes.

Each test tube contains 150 millilitres of solution We have to find How many liters of solution in all is there in the test tubes

There are 15 tubes contain 150 milometers of solution

What is the condition for 15 tubes contain 150 milometers of solution?

150ml × 15 tubes

Therefore we get,

[tex]150ml*15 tubes =2,250 ml[/tex]

we have convert 2250 ml into l

We know that

1L =1000ml

so divide 2250 by 1000 we will get,

[tex]2,250/1000 =2.25L[/tex]

Therefore there is 2.25 liter of solution in all tubes

To learn more about the unit conversion visit:

https://brainly.com/question/13016491

Help memory withmthiss

Answers

Bleach ;))) and carrots
I believe the answer is b

nate is curious to learn how much elephants eat compared to the largest animal on Earth, the blue whale. He does some research and finda that a full-grown whatle eats about 1460000 pounds of krill per year Write and solve an equation

Answers

Answer:1460000 + X

Step-by-step explanation:

Answer:

y = 1.46 * 10⁶ x

Step-by-step explanation:

We can write the following equation:

Let x to represent the number of blue whales and,

let y to represent the total krill eaten by x blue whales per year

1'460,000 = 1.46 * 10⁶

y = 1.46 * 10⁶ x

can someone please solve the problem is in the picture

Answers

Answer:

Y-intercept=6

Multiplier =3

Equation y=3x+6

Step-by-step explanation:

We can find the slope of the line by

Slope=m= (y2-y1)/(x2-x1)

m=(6-3)/(0-(-1))=3

And using point slope formula of equation of straight line

Y-Y1=m(X-X1)

Taking any point on line

Y-3=3(X-(-1))

Y-3=3X+3

y=3x+6

y=3(x+2)

URGENT 10 POINTS

Mrs. Jones recorded the time, in minutes, she spends reading each day for two weeks. The results are shown. What is the IQR for each week?

Week 1 Week 2
81 50 63 58 39 72 104 62 54 110 72 68 34 79
A.
The IQR for Week 1 is 65, and the IQR for Week 2 is 76.

B.
The IQR for Week 1 is 63, and the IQR for Week 2 is 68.

C.
The IQR for Week 1 is 50, and the IQR for Week 2 is 54.

D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.

Answers

Answer:D.

The IQR for Week 1 is 31, and the IQR for Week 2 is 25.

Step-by-step explanation:

Answer:

D.

The IQR for Week 1 is 31, and the IQR for Week 2 is 25.

please help ty! I added extra points.
Hillary and Charlene both drove from City A to City B. At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h. Charlene drove at an average speed of 144 km/h and took 50 minutes. She arrived at City B at the same time as Hillary. Find the time Charlene left City A.

Answers

Charlene left city A at 10: 10 AM

Solution:

Given that,

At 10 a.m., Hillary left City A and drove at an average speed of 120 km/h

Charlene drove at an average speed of 144 km/h and took 50 minutes.

She arrived at City B at the same time as Hillary

Their distance is same

Find the ratio of speed

120 : 144

Reduce to lowest term

Hillary : charlne = 5 : 6

Find the ratio of time:

Since, speed and time are inversely propotional

Hillary : charlne = 6 : 5

Let time taken by Hiliary be 6t

Let time taken by charlene be 5t

Given that, Charlene took 50 minutes

Therefore,

5t = 50

t = 10

Thus,

time taken by Hiliary = 6t = 6(10) = 60

Thus hiliary took 60 minutes to reach

Find the time Charlene left City A

At 10 a.m., Hillary left City A

Difference between both their time = 60 - 50 = 10 minutes

Thus, Hilairy left city A = 10 am + 10 minutes = 10 : 10 a.m

Thus, Hillary left city A at 10: 10 AM

If ABC ~ DEC, find the values of x and y. help me pleaseee!!!

Answers

Answer:

X = 8

Y = 35

Step-by-step explanation:

All you need to do to solve this problem is use the Pythagorean Theorem[tex](a^{2} +b^{2} =c^{2} )[/tex]

The leg of the triangle are A and B and C represents the hypotenuse. All you need to do is plug in the values into the equation and there u have it.

I have created an image for you to follow.

A computer randomly selects a number from the given set 1, 2, 5, 10, 25, 30, 36 what is the probability that an even number is selected enter your answer as a fraction in simplest form in the box

Answers

Answer:

4/7

Step-by-step explanation:

Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.

Answer:

4/7

Step-by-step explanation:

Because you have 7 numbers in the set, the denominator is seven. Because only four of the numbers are even, the nominator is 3.

Other Questions
Which type of ad agency is most likely to offer its clients an extensive range of marketing, communications, and promotions services, including planning, creating, and producing the advertising; performing research; and selecting media? A. A creative boutiqueB. A full-service agencyC. A media buying serviceD. A collateral agencyE. A switch marketing agency Although it can be expensive for businesses to implement operational efficiency, this cost produces greater quality results. For organizations with multiple divisions, developing processes once and repeating them saves time. True False HELPPPPPPPP PLEASEEE A tank contains 70 kg of salt and 1000 L of water. Water containing 0.4kgL of salt enters the tank at the rate 16 Lmin. The solution is mixed and drains from the tank at the rate 4 Lmin. A(t) is the amount of salt in the tank at time t measured in kilograms. If you know how many rings Kobe have comment below and a blessing will come to you. #824 what is the area of the shaded sector The declaration of independence is a formal statement written by Thomas Jefferson. This document was written in 1776 which the American colonists proclaimed their independence from Great Britain. T/F A new class of objects can be created conveniently by ________; the new class (called the ________) starts with the characteristics of an existing class (called the ________), possibly customizing them and adding unique characteristicsof its own. Group of answer choices Which of these is not a type of research paper? A. citation B. term paper C. dissertation D. scholarly paper what chemical caused the decline of the eagle population Enter a balanced equation for the reaction between solid silicon dioxide and solid carbon that produces solid silicon carbide and carbon monoxide gas. Express your answer as a chemical equation. Identify all of the phases in your answer. The ________ binding of oxygen to hemoglobin is facilitated by changes in protein conformation upon oxygen binding to one subunit that affect the binding of oxygen to another subunit. Previous research suggests that there is a relationship between income and self-esteem. You want to test this relationship in a sample of social workers. You follow the required steps in the hypothesis testing process and write the following: ""There is no relationship between income and self-esteem among social workers."" Which type of hypothesis is this? You have some business meetings in a few different cities and you are planning your route so that it is least amount of money. You will start in cu*mming and end back in CU*MING. Use the NEAREST NEIGHBOR ALGORITHM to determine your route. 1. Which city will you visit first (after leaving Cu^ming)? Why? 2. What will be the 2nd city you visit? Why? 3. What will be the 3rd city you visit? Why? 4. What was the total cost of the trip? The interaction of substances A and B is an example of which individual did not help promote integration in Louisiana? Blue Seas Cruiseline offers two types of dinner cruises: Regular and Executive. The contribution margin per ticket sold is $30 for the regular cruise, and $90 for the executive. Fixed costs are $210,000. It expects to sell four regular dinner cruises for every one executive dinner cruise. What is the total number of regular cruises Blue Seas must sell in order to breakeven? A. 1,750 B. 5,000 C. 4,000 D. 1,000 HELPPPP PLEASE can someone do me a favor and complete this hw page I really dont get it :( I need it , Ill give you brainlist even if its not correct 10. How should your microscope be stored when not in use? Which of the following is not one of the Generally Accepted Recordkeeping Principles ("The Principles")? a. Accountability b. Storage c. Retention d. Protection