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