Question

If ƒ(x) = 2x, then ƒ -1(x) =

Answer 1

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

Explanation:

let y = 2x

Rearrange making x the subject

divide both sides by 2

`(y)/(2)` = x

changing y back into terms of x

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

Answer 2

f^-1(x) = x/2

Explanation:

To find the inverse of a function, we exchange x and y and then solve for y

y =2x

Exchange x and y

x = 2y

and then solve for y

Divide by 2

x/2 =y

The inverse function

f^-1(x) = x/2