Answer:
[tex]y =\frac{1}{4}x - 2[/tex]
Step-by-step explanation:
f(x) = 4x + 8
To find inverse function , we replace f(x) by y
y = 4x+8
Now replace x with y and y with x
x = 4y + 8
Now solve for y
Subtract 8 on both sides
x - 8 = 4y
Divide by 4 on both sides
[tex]\frac{x}{4} - \frac{8}{4} =y[/tex]
[tex]y =\frac{1}{4}x - 2[/tex]