Question

If f(x) = 12x+2, then f^-1(x) =??​

Answer 1

Step-by-step 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.

Answer 2

Answer:

$f^{-1}$(x) = $\frac{x-2}{12}$

Step-by-step 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 )

$\frac{y-2}{12}$ = x

Change y back into terms of x

$f^{-1}$ (x) = $\frac{x-2}{12}$