Question

What is the inverse of the function f(x) = 2x-10

Answer 1

`f^(-1)`(x) =
`(x+10)/(2)`

Explanation:

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

y = 2x - 10 ( add 10 to both sides )

y + 10 = 2x ( divide both sides by 2 )

`(y+10)/(2)` = x

Change y back into terms of x, thus

`f^(-1)`(x) =
`(x+10)/(2)`