Answer:
f^-1(x) = x/4+3
Step-by-step explanation:
To get the inverse of the function
f(x)=4x-12
Lets make y = f(x), the function in terms of y will become;
y = 4x-12
To find the inverse of the function, we will make x the subject of the formula to have;
y+12 = 4x
Dividing both sides by 4 gives;
y+12/4 = x
x = y/4+12/4
x = y/4+3
The value of x gotten will be the inverse of the given function by replacing variable y in the function with x i.e
f^-1(x) = x/4+3
