Question

Find the inverse of f(x)=1/2x Write your answer in terms of g(x).

Answer 1

The inverse of f is

`g(x) = 2x`

Explanation:

Given the function

`f\left(x\right)=(1)/(2)x`

A function g is the inverse of function f if for y = f(x), x = g(y)

`y=(1)/(2)x`

Replace x with y

`x=(1)/(2)y`

Solve for y

`y = 2x`

Therefore, the inverse of f is

`g(x) = 2x`