anonymous
  • anonymous
Calculus 1 Inverse question!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
if \[f ^{-1}\] is the inverse of f, determine the value of \[f(f ^{-1}(3))\]
anonymous
  • anonymous
Answer Choices: 1. Need to know f 2. f(f−1(3)) =1/3 3. f(f−1(3)) =1/9 4. f(f−1(3)) = 3 5. f(f−1(3)) = 9
Psymon
  • Psymon
It's always going to return the same value. You take the inverse at a point and then plug that back into the original function, you just get the same point in return. So it'd be 3.

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anonymous
  • anonymous
@Psymon I just checked and that answer isn't correct
Psymon
  • Psymon
Interesting. The only reason I even said that was because I physically made examples and tried them out.
Psymon
  • Psymon
And the way I think of it, it's just like how it works with trig functions. \[\sin(\sin^{-1} x) = x\] \[\sin^{-1} (sinx)=x \]
anonymous
  • anonymous
@Psymon you're answer was actually correct. for some reason the website I'm using counted it wrong.
anonymous
  • anonymous
sorry about that.
Psymon
  • Psymon
Hm O.o Interesting. Happens unfortunately. Glad you were able to see the correct answer anyway ^_^

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