Question

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

Answer 1

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

Explanation:

To find the inverse, solve for y:

x = f(y)

x = (1/4)y -12

x +12 = (1/4)y . . . . add 12

4(x +12) = y . . . . . multiply by 4

y = 4x +48 . . . . . . simplify

The inverse function is ...

`\boxed{f^(-1)(x)=4x+48}`