Question

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

Answer 1

f(X)=4x+8
Explanation: Interchange X and y
X=4y+8 swap the sides of the equation
4y+8=X Move the constant to the right-hand side and change its sign
4y=X-8 divide both sides
Answer: 1/4x-2

Answer 2

Answer: A. h(x) = 1/4x - 2

Explanation:

f(x) = 4x + 8

find the inverse...

A.

`h(x) = (1)/(4) x-2`

`f(x) = 4((1)/(4) x-2)+8`

`f(x)=x-8+8`

`f(x)=x`

`h(x) = (1)/(4) (4x+8)-2`

`h(x)=x+2-2`

`h(x)=x`

Since they both come out to 'x', they are inverses of each other.

f(x) = 4x + 8 and h(x) = 1/4x - 2 are inverses