Answer:
[tex]f^{-1}(x)=\frac{x}{4} - 2[/tex]
Step-by-step explanation:
the inverse function of the function f(x)=4x+8
To find inverse function do the following steps
step 1: Replace f(x) with y
y = 4x+8
step 2: Replace x with y and y with x
x= 4y +8
step 3: solve for y
x = 4y +8
Subtract 8 from both sides
x-8 = 4y
divide by 4 on both sides
[tex]\frac{x-8}{4} = y[/tex]
Divide each term by 4
[tex]y=\frac{x}{4} - 2[/tex]
Step 4 : Replace y with f^-1(x)
[tex]f^{-1}(x)=\frac{x}{4} - 2[/tex]
