Question

I need to solve this. Find the inverse of these functions.

Answer 1

Answer:
`f^(-1)(x)\text{ = }(x+12)/(4)`

Explanations:

1. The given function is:

f(x) = 4x - 12

To find the inverse linear function:

Step 1: Make x the subject of the formula

f(x) + 12 = 4x

4x = f(x) + 12

`x\text{ = }\frac{f(x)\text{ + 12}}{4}`
`\text{Step 2: Replace x by f}^(-1)(x)\text{ and f(x) by (x)}`
`f^(-1)(x)\text{ = }(x+12)/(4)`