Question

The inverse of each of the given functions.

f(x) = 4x − 12

Answer 1

Basically you swap the variables.
f(x)=4x-12
y = 4x - 12
SWAP
x = 4y - 12
Now solve for y
X = 4y - 12
x + 12 = 4y
X/4 + 3 = y

The inverse is y = x/4 + 3

Answer 2

y= x/4 -3 which is your inverse function! :)