Question

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

Answer 1

h(x) = 1 / 4x

last choice

Explanation:

y = 4x becomes x = 4y

we want to solve for y,

divided both sides by 4

x / 4 = 4y / 4

x / 4 = y

Answer 2

`h(x) = \frac 14 x`

Explanation:

`y = f(x) = 4x\\\\\text{Replace x with y and then solve for y:}\\\\~~~~~x = 4y\\\\\implies y = \frac x4\\\\\implies f^(-1)(x) = \frac 14x`