Question

In Exercise,find the inverse function of
f(x) = 3/4x - 9

Answer 1

`f^(-1)(x) = \displaystyle(4x)/(3) +12`

Explanation:

We are given the following function in the question:

`f(x) = \displaystyle(3)/(4)x-9`

We have to find the inverse of the given function.

To find the inverse we solve for x and then interchange the variable.

`y = \displaystyle(3)/(4)x - 9\\(3)/(4)x = y + 9\\x = (4)/(3)(y+9)\\\\x = (4y)/(3)+12`

Thus, the inverse of the function is

`f^(-1)(x) = \displaystyle(4x)/(3) +12`