Answer:
[tex]f^{-1}=4(x+2)[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{x}{4} -2[/tex]
To find inverse function , replace f(x) with y
[tex]y=\frac{x}{4} -2[/tex]
Swap the variables x and y
[tex]x=\frac{y}{4} -2[/tex], nbw we solve for y
Add 2 on both sides
[tex]x+2=\frac{y}{4}[/tex]
Now to eliminate 4, we multiply 4 on both sides
[tex]y=4(x+2)[/tex]
Replace y with f^-1
[tex]f^{-1}=4(x+2)[/tex]
