Question

If f(x) = 12x+2, then f^-1(x) =??​

Answer 1

`f^(-1)`(x) =
`(x-2)/(12)`

Explanation:

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

y = 12x + 2 ( subtract 2 from both sides )

y - 2 = 12x ( divide both sides by 12 )

`(y-2)/(12)` = x

Change y back into terms of x

`f^(-1)` (x) =
`(x-2)/(12)`

Answer 2

Explanation:

Given

f(x) = 12x + 2

f^-1(x) = ?

Now

Let y = f(x)

or y = 12x + 2

Interchanging the role of x and y

x = 12y + 2

x - 2 = 12y

y = x - 2

12

Therefore f^-1(x) = x - 2

12

Hope it will help you.