Question

What is the⁻of the function h(x) = 3/2(x - 11)?

a. h⁻(x) = 2/3(x + 11)
b. h⁻(x) = 2/3(x - 11)
c. h⁻(x) = 2/3x + 11
d. h⁻(x) = 3/2x + 11

Answer 1

To find the inverse of the function h(x) = 3/2(x - 11), divide both sides of the equation by 3/2, flip the equation, and add 11 to both sides.

Step-by-step explanation:

The question is asking for the inverse of the function h(x) = 3/2(x - 11).

To find the inverse, we need to solve for x. Let y represent h(x):

y = 3/2(x - 11)

To isolate x, we can follow the steps:

1. Divide both sides of the equation by 3/2: y/(3/2) = (x - 11)
2. Flip the equation: (x - 11) = y/(3/2)
3. Add 11 to both sides: x = y/(3/2) + 11

Therefore, the inverse of the function h(x) = 3/2(x - 11) is h⁻(x) = y/(3/2) + 11. Option d is the correct answer: h⁻(x) = 3/2x + 11.