SOLUTION: Suppose a function f has an inverse. If f(0) = −1 and f (−1) =2, find: f^-1(f(0))

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Question 1118011: Suppose a function f has an inverse. If f(0) = −1 and f (−1) =2, find:
f^-1(f(0))
Answer by ikleyn(52748) About Me  (Show Source):
You can put this solution on YOUR website!
.
Since f(0) = -1, you may substitute -1 instead of f(0) into  f%5E%28-1%29%28f%280%29%29.


Then you get  f%5E%28-1%29%28f%280%29%29 = f%5E%28-1%29%28-1%29.


Now, since  -1 = f(0)  and f has an inverse function, it implies that  f%5E%28-1%29%28-1%29 = 0.


Thus  f%5E%28-1%29%28f%280%29%29 = 0.

Solved.