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

`f^(-1)(x)= 4x+48`

Explanation:

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

`f(x)= (1)/(4) x-12`

To find inverse do the following steps

Replace f(x) with y

`y= (1)/(4) x-12`

Replace x with y and y with x

`x= (1)/(4)y-12`

Solve for y

Add 12 on both sides

`x+12= (1)/(4)y`

Multiply both sides by 4

`4(x+12)=y`

Replace y with f^-1

`f^(-1)(x)= 4x+48`