Question

If f(x) = 2x, then f -(x) =
Please help

Answer 1

`f^(-1)(x)= (1)/(2)x`

Explanation:

Given

`f(x) = 2x`

Required:

Find
`f^(-1)(x)`

`f(x) = 2x`

Replace f(x) with y

`y = 2x`

Swap both variables

`x = 2y`

`2y = x`

Make y the subject

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

Replace y with f-1(x)

`f^(-1)(x)= (1)/(2)x`