1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shtirlitz [24]
2 years ago
14

Find the inverse function of h(x) = -2/3x + 6.

Mathematics
2 answers:
Rom4ik [11]2 years ago
8 0

<u>Answer:</u>

x=-\frac{3}{2} x+9

<u>Step-by-step explanation:</u>

We are given the following function and we are to find the inverse of this function:

h(x) = - \frac { 2 } { 3 } x + 6

For that, we will put the function equal to another variable y and make x the subject of the function.

y = - \frac { 2 } { 3 } x + 6

Making x the subject:

y-6=-\frac{2}{3} x

3(y-6)=-2x

\frac{3y-18}{-2} =x

x=-\frac{3}{2} x+9

Therefore, the inverse h'(x) = x=-\frac{3}{2} x+9.

nalin [4]2 years ago
3 0

Answer:

h^{-1}(x)=-\frac{3}{2}x+9

Step-by-step explanation:

To find inverse of a function, follow the steps below:

1. replace h(x) with y

2. Interchange x and y

3. Solve for the new y

4. Replace y to h^{-1}(x) (this is the inverse function)

<u>Step 1:</u> y = -2/3x+6

<u>Step 2:</u> x = -2/3y+6

<u>Step 3:</u>

x=-\frac{2}{3}y+6\\\frac{2}{3}y=-x+6\\y=\frac{-x}{\frac{2}{3}}+\frac{6}{\frac{2}{3}}\\y=-\frac{3}{2}x+9

<u>Step 4:</u>

y=-\frac{3}{2}x+9\\h^{-1}(x)=-\frac{3}{2}x+9

This is the inverse function.

You might be interested in
A machine make 24 items in 8 minutes how many can it make in 14
yuradex [85]
So to solve we need to find out how many items per minute so 24 / 8 = 3 so the machine make 3 items per minute so now we take 3 and multiply it by 14 3 * 14 = 42 so 42 is our answer
6 0
3 years ago
Aidan and ethan were solving math problems together for homework adian did 410×10 to the fourth power would have 4 zeros in the
agasfer [191]

Answer:

No.

Step-by-step explanation:

410•10=4100 and 4100=41•100. We just need to focus on the 100. 100•100•100•100=100,000,000 which has 8 zeros, not 4 zeros.

7 0
2 years ago
Try to find this answer! Thank you!
r-ruslan [8.4K]
418,200 - 326,700 = 91,500
7 0
3 years ago
7ft = __ inches. Show work
Harrizon [31]

Answer:

Step-by-step explanation:

12 inches is in a foot

10 x 7= 70

2 x 7= 14

70+14=84

6 0
2 years ago
Ben ran 3/10 of a mile. Shelly ran 8/10 of a mile. How many more miles did Shelly run than Ben? A) 11/10 B) 11/20 C) 5/0 D) 5/10
attashe74 [19]

Hello there! Shelly ran D) 5/10 more miles than Ben.

To find the difference between the two runner's distances, subtract the smaller distance from the greater distance.

8/10 - 3/10 = 5/10

Since there is a difference of 5/10, this means Shelly ran 5/1 more miles.

I hope this helps, & have a great rest of your day! :)

8 0
2 years ago
Other questions:
  • Hi.I need help with math.Please help.Best gets brainiest.
    6·2 answers
  • What is the gcf of 45 and 60
    9·2 answers
  • A garden snail traveled 1⁄40 of a mile in 1⁄2 an hour. What was the speed of the snail?
    13·1 answer
  • "Solve each equation. Remember to check for extraneous solutions."
    11·1 answer
  • What is the value of -1 2/3 divided by 1 7/18 expressed as a mixed number
    14·2 answers
  • If a car travel 96 km on 8 liters of gas, how much gas will be used if the car travels a distance of 120km?
    6·1 answer
  • 1/10 on a number line ​
    8·1 answer
  • The speed of sound (shockwave) in an explosion is 100mph. How many seconds does the shockwave reach 2km away?​
    9·1 answer
  • Which expression is equivalent to<br> 5-1/5-2
    11·2 answers
  • How would you find the intercept for the equation y^2=2-3x-2x^2? I need the steps to understand
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!