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Basile [38]
3 years ago
6

If f(x) = 12x+2, then f^-1(x) =??​

Mathematics
2 answers:
Zolol [24]3 years ago
8 0

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}

olga nikolaevna [1]3 years ago
5 0

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 = <u>x </u><u>-</u><u> </u><u>2</u>

12

Therefore f^-1(x) = <u>x </u><u>-</u><u> </u><u>2</u>

12

Hope it will help you.

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