Which function is the inverse of f(x)=9x-3

Answers

Answer 1

Answer:

The screenshot of my test is below

Step-by-step explanation:

Which Function Is The Inverse Of F(x)=9x-3
Answer 2

The inverse function is [tex]f^{-1} (x)[/tex]=(x+3)/9.

The given function is f(x)=9x-3.

How to find the inverse of a function?

Steps for finding the inverse of a function f(x).

Replace f(x) with y in the equation describing the function.Interchange x and y. In other words, replace every x with a y and vice versa.Solve for y.Replace y with [tex]f^{-1} (x)[/tex].

Now, y=9x-3

Interchange x and y. That is x=9y-3.

Solve for y.

That is, 9y=x+3

⇒y=(x+3)/9

⇒[tex]f^{-1} (x)[/tex]=(x+3)/9

Therefore, the inverse function is [tex]f^{-1} (x)[/tex]=(x+3)/9.

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Related Questions

GIVING 20 POINTS, HELP ASAP!! DUE IN 45 MIN!!!!!

Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The graph below represents what Health Club B charges.

Answers

The equation of line is solved and Health Club B costs $ 7 less in monthly membership fees that Health Club A

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 3 , 106 )

Let the second point be Q ( 6 , 187 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 187 - 106 ) / 3

Slope m = 27

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 106 = 27 ( x - 3 )

y - 106 = 27x - 81

Adding 106 on both sides , we get

y = 27x + 25   be equation (1)

Now , let the equation of line be represented as B

And , the value of B is

Let the first point be R ( 3 , 105 )

Let the second point be S ( 6 , 165 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 165 - 105 ) / 3

Slope m = 20

Now , the equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 105 = 20 ( x - 3 )

y - 105 = 20x - 60

Adding 105 on both sides , we get

y = 20x + 45   be equation (2)

Now , when x = 1

Substitute the value of x = 1 in equation (1) and equation (2) , we get

y₁ = 27 + 25 = $ 52

y₂ = 20 + 45 = $ 65

So , health club B costs $ 7 less than health club A every month

Hence , the equation of lines is solved

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Can some one please help me with this

Answers

Answer:

I think the answer is B. I hoped I helped a little

need help asap will give brainly

Answers

I believe it is false that is alt int <‘s
THE ANSWER FOR THIS QUESTION IS
True

Plzzzzzzz helppp i will give brainliest if right

Answers

Answer:

1.) 20 square inches

2.) 4.16

3.) (-1, -5) (2, -5)

Step-by-step explanation:

circle O has a circumference of 88piecm.
what is the length of the radius of the circle

Answers

Answer:

radius = 9.38 cm   or   7(sq rt 2) cm

Step-by-step explanation:

sq rt 88(Pi) = radius

radius = 9.38 cm   or   7(sq rt 2) cm

Use similar triangles △EFG and △IHG to find the missing distance d

Answers

I’m doing this for points 73837
d = 64

explanation:

60/48 = 1.25
so 80 = d*1.25
80/1.25 = 64

Can someone help me with this I don’t understand

Answers

Answer:

the fastest is 12 meters every 4 seconds

slowest is 8 meters every 6 seconds

Step-by-step explanation:

Maya runs 8 miles in 84 minutes. At the same rate, how many minutes would she take to run 6 miles?

Answers

Answer:

63 mins

Step-by-step explanation:

84 mins ÷ 8 miles = 10.5 mins per mile

6 miles × 10.5 mins = 63 mins

the answer to your question would be:

please look at the picture below:

How many intergers are between √15 and √68​

Answers

Answer:

I think the answer is Four

Step-by-step explanation:

3.9-8= 4,5,6,7

a rate


12. A class of 60 is 30% girls. How many girls are there in the class?
b. 180
d. 18
a. 24
c. 240

Answers

Answer:

18

Step-by-step explanation:

30% of 60 is 18

Answer:

24 is the answer

Step-by-step explanation:

you can see in

What would x be 3(x-5)=12

Answers

Answer:

x=9

Have a beautiful day!

Hey.... can anybody help me with a question? "If you can change one thing in your community with design, what would it be and how will it work towards racial justice"?

Answer: x=9

Step-by-step explan

Plz help due tomorrow if correct ill give brailiest

Answers

Division because first you solve whats in the parentheses them you solve and last you divide

Answer:

Division (Hope this helps)

Step-by-step explanation:

A ladder leaning against a wall makes a 60° angle with the ground. The base of the ladder is 3 m from the building. How high above the ground is the top of the ladder?

Answers

Answer:

The distance is 5.20m

Step-by-step explanation:

Here, we want to get the height of the ladder

To get this, we need to understand that we have a right triangle, with the base of the triangle as 3 m, the angle at the downward part is 60, and we want to get the height of the triangle

The angle here faces the height we want to calculate

This height is known as the opposite

What we have is the adjacent

Now, the trigonometric identity that relates the opposite and the adjacent is the tan

The tangent of an angle is the ratio of the opposite to the adjacent

Mathematically;

tan 60 = h/3

h = 3 tan 60

h = 5.20 m

The ladder is at a height of 5.20 m above the ground

Which value of h make the equation true?
2.3 + h = 7.8

Answers

Answer:

h = 5.5

Step-by-step explanation:

2.3 + h = 7.8

-2.3         -2.3

  h = 5. 5

can someone help? i rlly need help thank u for anyone that helps ! :)

Answers

Answer:

i think one of them is

(-1,5) and (8,3)

Step-by-step explanation:

just count up how much is on both x and y axes and you'll get ur answer.

goodluck!

also, dont put my answer cuz im afraid u'll get it wrong cuz i tried my best, so jus wait untill someone else answers if u want <3

goodluck

Which number line shows the solution to the inequality 3x + 6 > 9?
-4-2 0 2 4
-4-2 0 2 4
-4-2 0 2 4
-4-2 0 2 4

Answers

Answer:

its number 3

Step-by-step explanation:

Decide which of the two points lies on the graph of the line.

1. X + Y = 8
A. (2,4) B. (2,6)

2. X = 4
A.(4,2) B. (2,4)

3. Y = X - 2
A. (4,6) B. (6,4)

Answers

Answers:

B) (2,6)A) (4,2)B) (6,4)

===========================================

Explanations:

For this problem, the x and y coordinates must add to 8. In choice A, we have x+y = 2+4 = 6, which doesn't work. But choice B does work since x+y = 2+6 = 8. Therefore, the point (2,6) is located on the line x+y = 8. The equation x+y = 8 is equivalent to y = -x+8.The x coordinate must be equal to 4. The y coordinate can be anything you want. The point (4,2) is on this line, while (2,4) is not. Another point on this line is (4,1). The line is completely vertical.If we plugged the x & y coordinates of choice A into the equation, we get 6 = 4-2 which then becomes 6 = 2 and that's a false statement. That rules out choice A. If we try choice B, then we get 4 = 6-2 which becomes 4 = 4. We get a true statement so choice B is the answer.

67% of what is 119.2?​

Answers

Step-by-step explanation:

[tex] \frac{67}{100} \times x = 119.2 \\ x = \frac{11920}{67} = 117.9 = 178[/tex]

I need the answer ASAP

Answers

You can use Photomath

Please help.
Algebra.

Answers

9514 1404 393

Answer:

  8

Step-by-step explanation:

A system of linear equations has no solution when the equations describe parallel lines. Parallel lines have the same slope. In your equation, the slope is the x-coefficient, 8. A parallel line will have a slope of 8.

The second equation will have a slope of 8 if the system has no solution.

1) The region enclosed by the x-axis, the line x=3 and the curve y = sq. Rt x is rotated about the x-axis. What is the volume of the solid generated? *

Answers

Using the disk method, the volume would be

[tex]\displaystyle \pi \int_0^3 (\sqrt x)^2 \,\mathrm dx=\pi \int_0^3 x\,\mathrm dx=\frac\pi2 x^2\bigg|_0^3=\boxed{\frac{9\pi}2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral.

In this exercise we have to use the knowledge of the integral to calculate the volume of the disk that will correspond to:

[tex]V= \frac{9\pi }{2}[/tex]

That is, you split up the solid into disks of some small height ∆x, and each disk has radius at point x equal to the distance (√(x)) from the axis of revolution (the x-axis, y = 0) to the curve y = √(x). The volume of such a disk is then π (√(x))² ∆x. Take the sum of these volumes to get the total volume, then as the heights get smaller and smaller, replace ∆x with dx and the sum with the integral. Using the disk method, the volume would be:

[tex]\pi \int\limits^3_0 {(\sqrt{x})^2} \, dx = \pi \int\limits^3_0 {x} \, dx = \frac{\pi x^2}{2} = \frac{9 \pi }{2}[/tex]

See more about volume at brainly.com/question/1578538

Mr.Richardson would like to build a planter surrounded by a brick path (shown in gray). How many square feet of brick does Mr.Richardson need?

Answers

Answer:

128 square feet

Step-by-step explanation:

Horizontal Gray parts:

12 - 8 = 4 ÷ 2 = 2

2 * 24 = 48 * 2 = 96

Vertical gray parts:

24 - 20 = 4 ÷ 2 = 2

2 * 8 = 16 * 2 = 32

All together:

96 + 32 = 128 square feet

Rafael drops a ball from the third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t² + 45

When is the ball at ground level?​

Answers

Answer:

3 seconds is when it will be at ground level.

Step-by-step explanation:

I'll explain it tmr, just reply if you want me to explain.

A plot of land is 25 feet in length and 20 feet wide, and it is in the shape of a parallelogram. The perpendicular distance from the long side to the opposite long side is 18 feet. What is the area of the piece of land?

Answers

Given:

Length of the parallelogram = 25 feet

Width of the parallelogram = 20 feet

Perpendicular distance from the long side to the opposite long side = 18 feet.

To find:

The area of the piece of land which is a parallelogram.

Solution:

Area of a parallelogram:

[tex]Area=Base\times height[/tex]

Let the longer side, 25 feet is the base, then the height of the parallelogram is 18 feet. So, the area of the parallelogram is

[tex]Area=25\times 18[/tex]

[tex]Area=450[/tex]

Therefore, the area of the piece of land is 450 square feet.

PLEASE HELP! WILL GIVE BRAINLIST!

Jimmy wants to keep track of a friends college savings account and use slope intercept form to build a function, y = mx + b. What information will he need to know to accurately keep track of the account and create a function that will give the number of dollars in the account based on the number of months his friend will save money for college?

A. The initial amount of money use to start the account, and use that deposit for B

B. All of the above

C. The amount of money he will save each month, and use that for slips or m

D. The amount of months he will save money for a college, and use that amount of time for x

Answers

Answer: here is all the answers for assess it #70: day 122

1. F(x) = 225x + 45

2. F (x)= 7x - 105

3. the function would be a curved line if you were to graph it using intercepts or a simple function table

4. The x-intercept is (10,0)

5. All of the above

7a+3b=27
6a+3b=24

Solve in simultaneous

A=
B=

Answers

Answer:

A= 3,B = 2

Hope it helps you

if yes mark me brainliest

Answer:

hence, a = 3

b = 2

Step-by-step explanation:

from the given pair of linear equation we get,

7a + 3b = 27 - ( 1 )

6a + 3b = 24 - ( 2 )

now, subtract equation 2 from equation 1

=》7a + 3b - 6a - 3b = 27 - 24

=》a = 3

now put the value of a in equation 1

=》7a + 3b = 27

=》( 7 × 3 ) + 3b = 27

=》21 + 3b = 27

=》3b = 27 - 21

=》b = 6 ÷ 3

=》b = 2

PLEASE HELP ME



HAPPY FRIDAY!!!

Answers

Answer:

52.365

Step-by-step explanation:

53.715 + 51.3 + 52.62 = 157.635

210 - 157.635 = 52.365

please help me i need it

Answers

Answer:

-27

Step-by-step explanation:

Draw a big X over the equal sign, then cross multiply the terms to get:

6(p) = 9(p+9)

Then you want to get p by itself.

Multiply the 9 out:6p = 9p+81

Subtract 9p from both sides:-3p = 81

Divide -3 both sides to get p by itself:p = -27

i need help with this question can anyone please help me

Answers

X= 4 mark me brainliest pretty pleaseeee:)

I need help with this question

Answers

Answer:

In scientific notation is 1.10 7 and expanded 10000000

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