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)   (Show Source): You can put this solution on YOUR website!
.
Since f(0) = -1, you may substitute -1 instead of f(0) into  .


Then you get   = .


Now, since  -1 = f(0)  and f has an inverse function, it implies that   = 0.


Thus   = 0.

Solved.



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