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November 12th, 2016, 02:55 PM   #1
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Multiplying terms of odd functions

Hi

We had to find out whether it's true/or false that multiplying terms of two odd functions will equal to a term of an even function.

The solution was
f(-x)*g(-x)= -f(x)*(-(g(x)) = f(x)*g(x)

I don't understand how f(-x) becomes -f(x) and g(-x) becomes (-(g(x)).

Thank you for your help.

Last edited by skipjack; November 12th, 2016 at 03:01 PM.
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November 12th, 2016, 03:00 PM   #2
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It's due to this definition.
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November 12th, 2016, 06:49 PM   #3
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Quote:
Originally Posted by skipjack View Post
It's due to this definition.
It's clear now but why was it necessary to do this step ?
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November 12th, 2016, 06:56 PM   #4
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Math Focus: Yet to find out.
Because the question asked you to show that the product of two odd functions results in an even one? Or are you asking if there are other ways to show it?
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