Respuesta :

Step 1: change f(x) to y
y = 4x + 8

Step 2: switch x and y in the equation
x = 4y + 8

Step 3: solve for y
x - 8 = 4y
[tex] \frac{x}{4} -2=y[/tex]
[tex] f^{-1} (x)= \frac{x}{4}-2 [/tex]
Switch the x and y

X= 4y +8

Subtract 8 from both sides

X-8 = 4y

Divide both sides by 4

So,

f^-1(x)= x-8/4