Question

Inverse Functions help

Answer 1

The inverse of powering numbers is square rooting them, and the inverse of subtraction is addition, so what do you think your answer is?

Answer 2

\(f(x) = x^2 - 36\)

Answer 3

So which one has square rooting and addition? @Gabylovesyou

Answer 4

Let \(f(x)\) be \(y)..

Answer 5

@AnswerMyQuestions D ?

Answer 6

Yes.

Answer 7

yep..

Answer 8

I never did this before, but I am assuming that is the answer. :P

Answer 9

Well, there's the confirmation.

Answer 10

haha thanks ! :)

Answer 11

There is a procedure to do these questions..

Answer 12

Let f(x) = y:

\[y = x^2 - 36\]
Now find x in terms of y:
\[x = \pm \sqrt{y^2 + 36}\]

Now switch x and y with each other:
\[y = \pm \sqrt{x^2+36}\]

Answer 13

This y is now your \(f^{-1}(x)\)

Answer 14

\[f^{-1}(x) = \pm \sqrt{x^2+36}\]

Answer 15

that is y only there..

Answer 16

ohhhh

Answer 17

\[x = \pm \sqrt{y + 36}\]

Answer 18

ok thanks! :)

Answer 19

Now switch x and y..

Answer 20

\(\dagger\)..

Answer 21

mkay