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Math Help - Function Proof

  1. #1
    Member rtblue's Avatar
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    Function Proof

    Question: Prove that the product of two odd functions is an even function.

    I know a few basic facts about even and odd functions:

    In an even function, e(x)=e(-x)
    In an odd function, o(-x)=-o(x)
    An even function is a reflection across the y-axis.
    An odd function is a reflection across the origin.

    where e and o are even and odd functions respectively.

    How would I go about using this knowledge, and possibly other information, to complete this proof? Any suggestions are appreciated.
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  2. #2
    Super Member Random Variable's Avatar
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    let  f(x) and  g(x) both be odd functions.

    Then  f(-x)g(-x) = -f(x)*-g(x) = f(x)g(x)
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  3. #3
    Member rtblue's Avatar
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    Thanks! I get it now.
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