My Math Forum Multiplying terms of odd functions

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 November 12th, 2016, 02:55 PM #1 Newbie   Joined: Mar 2016 From: Europe Posts: 8 Thanks: 0 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.
 November 12th, 2016, 03:00 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,966 Thanks: 2215 It's due to this definition. Thanks from Hatschi1
November 12th, 2016, 06:49 PM   #3
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Quote:
 Originally Posted by skipjack It's due to this definition.
It's clear now but why was it necessary to do this step ?

 November 12th, 2016, 06:56 PM #4 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,838 Thanks: 653 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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