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Math Help - functions

  1. #1
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    functions[SOLVED]

    i  f is a bijection function from X-->X
    prove
    f inverse(f(x)) = x
    Last edited by doresa; July 19th 2009 at 06:23 AM.
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  2. #2
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    If f : A \rightarrow B is an injective function, then the inverse is defined by

    f^{-1}(y)=x \iff f(x)=y for all y \in B.

    Since bijective implies injective, the result follows immediately.
    Last edited by AlephZero; July 18th 2009 at 05:34 PM.
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