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Odd and even functions

  1. Jul 5, 2008 #1
    Why does two odd functions divided by eachother become an even function?
     
  2. jcsd
  3. Jul 5, 2008 #2

    Defennder

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    Well suppose you have 2 odd functions f(x) and g(x). Since they are odd, f(x)= -f(-x) and similarly for g(x). Now divide f(x) by g(x) on both sides of the equation. What do you observe?
     
  4. Jul 5, 2008 #3

    HallsofIvy

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    [tex]\frac{f}{g}(-x)= \frac{f(-x)}{g(-x)}= \frac{-f(x)}{-g(x)}= \frac{f(x)}{g(x)}= \frac{f}{g}(x)[/itex]
     
  5. Jul 5, 2008 #4
    thanks!
     
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