anonymous
  • anonymous
Find ( f -1 )'( a )
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
1 Attachment
anonymous
  • anonymous
f^-1*
1 Attachment
anonymous
  • anonymous
ok you are in luck because \[f(1)=5\] so \[f^{-1}(5)=1\]

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anonymous
  • anonymous
What does the apostrophe mean?
anonymous
  • anonymous
you want \[f^{-1^'}(5)\] and you do that by finding \[\frac{1}{f'(f^{-1}(5))}\]
anonymous
  • anonymous
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.
anonymous
  • anonymous
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?
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anonymous
  • anonymous
i really didn't do it. whatever the derivative is, evaluate at 1 and flip. i can check if you want
anonymous
  • anonymous
yeah you got it! \[\frac{5}{3}\]

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