Question

Find ( f -1 )'( a )

Answer 1

f^-1*

Answer 2

ok you are in luck because
\[f(1)=5\] so
\[f^{-1}(5)=1\]

Answer 3

What does the apostrophe mean?

Answer 4

you want
\[f^{-1^'}(5)\] and you do that by finding
\[\frac{1}{f'(f^{-1}(5))}\]

Answer 5

fortunately you know
\[f^{-1}(5)=1\] so this becomes
\[\frac{1}{f'(1)}\] therefore your actual job is to take the derivative, evaluate it at 1, and then take the reciprocal.

Answer 6

Ok, sorry I'm slow on this, I'm taking some tests to get ready for college. I'm going to try and work this backwards, they give my 5 answers. I believe that the correct answer is 5/3?

Answer 7

i really didn't do it. whatever the derivative is, evaluate at 1 and flip. i can check if you want

Answer 8

yeah you got it!
\[\frac{5}{3}\]