Question

Which represents the inverse of the function f(x) = 4x?

h(x) = x + 4
h(x) = x – 4
h(x) = x
h(x) = x

Answer 1

h(x) = x/4

Explanation:

To find the inverse of a function, exchange x and y and then solve for y

y = 4x

Exchange x and y

x = 4y

Solve for y

Divide each side by 4

x/4 = 4y/4

y = x/4

The inverse is

h(x) = x/4