Question

What is the inverse of the function f(x) = 4x + 8? h(x) = x – 2 h(x) = x + 2 h(x) = x – 2 h(x) = x + 2

Answer 1

The inverse of f(x) = 4x + 8 is h(x) =  x - 2

Answer 2

Answer:

$y =\frac{1}{4}x - 2$

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

$\frac{x}{4} - \frac{8}{4} =y$

$y =\frac{1}{4}x - 2$