Question

Finding inverse of a function. Posting below...

Answer 1

\(\Huge{f(x)=9-\sqrt[5]{x-8}}\)

Answer 2

@satellite73 @amistre64 @zepdrix @jim_thompson5910 @iambatman

Answer 3

I am not sure how I would solve it because of the 9 and root 5...

Answer 4

solve
\[x=9-\sqrt[5]{x-8}\] is a very few number of steps

Answer 5

Do you mean y inside?

Answer 6

make that \[x=9-\sqrt[5]{y-8}\]

Answer 7

Yes got that part..

Answer 8

But how would I be able to get the y out...

Answer 9

subtract 9
change the sign
raise to the power of 5
add 8

Answer 10

\[-x+9=\sqrt[5]{y-8}\]

Answer 11

\[(-x+9)^5=y-8\]

Answer 12

Is that correct so far? @satellite73

Answer 13

I am getting stuck at (-x+9)^5

Answer 14

yup

Answer 15

Like is there a formula for it.

Answer 16

?

Answer 17

just write it like that!

Answer 18

\[f^{-1}(x)=(9-x)^5+8\] finished

Answer 19

oh ok.. I wasn't sure how to write it..

Answer 20

Thanks a lot..

Answer 21

@satellite73 Are you a boy or girl. Was going to write a testimony for you ^_^. I am thinking boy?

Answer 22

@satellite73 Would the domain and range of both functions be \[(-\infty,\infty)\]

Answer 23

Yes it was.. ^_^