How do you find the inverse of the function f(x) = 4x + 12?

To find the inverse of the function f(x) = 4x + 12, we need to follow a few steps.

1. Start by replacing f(x) with y:
   y = 4x + 12
2. Next, swap x and y:
   x = 4y + 12
3. Now, solve for y:
   x – 12 = 4y
4. Divide both sides by 4 to isolate y:
   y = (x – 12)/4

Finally, we replace y back with f^-1(x). Hence, the inverse function is:

f^-1(x) = (x – 12)/4

This means that if you have an output value from the original function, you can find the input value by using the inverse function we derived.