Answer:
[tex]f^{-1}(x)= 4x+48[/tex]
Step-by-step explanation:
the inverse of the function f(x) =1/4 x – 12
[tex]f(x)= \frac{1}{4} x-12[/tex]
To find inverse do the following steps
Replace f(x) with y
[tex]y= \frac{1}{4} x-12[/tex]
Replace x with y and y with x
[tex]x= \frac{1}{4}y-12[/tex]
Solve for y
Add 12 on both sides
[tex]x+12= \frac{1}{4}y[/tex]
Multiply both sides by 4
[tex]4(x+12)=y[/tex]
Replace y with f^-1
[tex]f^{-1}(x)= 4x+48[/tex]
