Question

What is the inverse of the function f(x) = 2x + 1?

Answer 1

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

Explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2 ( divide both sides by 2 )

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

Change y back into terms of x and let x =
`f^(-1)` (x), thus

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