Answer:
(x+6)/4
Step-by-step explanation:
We are given the following function:
f(x) = 4x-6
It can also be written as:
y = 4x - 6
Finding the inverse:
We have to exchange y with x, and then isolate y. It becomes:
[tex]x=4y-6[/tex]Isolating y:
[tex]4y=x+6[/tex][tex]y=\frac{x+6}{4}[/tex]The inverse function is:
[tex]f^{-1}(x)=\frac{x+6}{4}[/tex]