Question

Calculus 1 Inverse question!

Answer 1

if \[f ^{-1}\] is the inverse of f, determine the value of \[f(f ^{-1}(3))\]

Answer 2

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

Answer 3

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.

Answer 4

@Psymon I just checked and that answer isn't correct

Answer 5

Interesting. The only reason I even said that was because I physically made examples and tried them out.

Answer 6

And the way I think of it, it's just like how it works with trig functions.
\[\sin(\sin^{-1} x) = x\]
\[\sin^{-1} (sinx)=x \]

Answer 7

@Psymon you're answer was actually correct. for some reason the website I'm using counted it wrong.

Answer 8

sorry about that.

Answer 9

Hm O.o Interesting. Happens unfortunately. Glad you were able to see the correct answer anyway ^_^