Question

What is the⁻of the function h(x) = 3/4x + 12?

a. h⁻(x) = 4/3(x - 12)
b. h⁻(x) = 4/3(x + 12)
c. h⁻(x) = 4/3x - 12
d. h⁻(x) = 3/4x - 12

Answer 1

The inverse of the function h(x) = 3/4x + 12 is h⁻(x) = 4/3(x - 12).

Step-by-step explanation:

The inverse of the function h(x) = 3/4x + 12 can be found by swapping x and y and solving for y. Let's do that:

x = 3/4y + 12

Solving for y:

x - 12 = 3/4y

4/3(x - 12) = y

Therefore, the inverse of h(x) is h⁻(x) = 4/3(x - 12).