Question

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

O h(x) = x + 4
O h(x) = x -4
O h(x) = 3/4x
O h(x) = 1/4x

Answer 1

last answer:

h(x) = 1/4 x

Explanation:

First, change f(x) to y.

f(x) = 4x

y = 4x

Then switch the x and y.

y = 4x

x = 4y

Last, solve for y.

x = 4y

x/4 = 4y/4

x/4 = y

y = x/4

This is the same as:

y = 1/4 x

h(x) = 1/4 x