Question

What is the inverse of the function f(x) =1/4 x – 12?

Answer 1

F=x-48 over 4x. I hope that is right :)

Answer 2

Answer:

$f^{-1}(x)= 4x+48$

Step-by-step explanation:

the inverse of the function f(x) =1/4 x – 12

$f(x)= \frac{1}{4} x-12$

To find inverse do the following steps

Replace f(x) with y

$y= \frac{1}{4} x-12$

Replace x with y and y with x

$x= \frac{1}{4}y-12$

Solve for y

Add 12 on both sides

$x+12= \frac{1}{4}y$

Multiply both sides by 4

$4(x+12)=y$

Replace y with f^-1

$f^{-1}(x)= 4x+48$