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Math Help - Suppose f and g are even functions. What can you say about f + g and fg?

  1. #1
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    Suppose f and g are even functions. What can you say about f + g and fg?

    I have the question:

    Suppose f and g are even functions. What can you say about f + g and fg?

    All I can see is that f(-x)g(-x)=f(x)g(x) so the product is also even

    and that

    f(-x) + g(-x) = f(x) + g(x) so the sum is also even

    Is there any more to say on this?
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    Re: Suppose f and g are even functions. What can you say about f + g and fg?

    Quote Originally Posted by kinhew93 View Post
    I have the question:

    Suppose f and g are even functions. What can you say about f + g and fg?

    All I can see is that f(-x)g(-x)=f(x)g(x) so the product is also even

    and that

    f(-x) + g(-x) = f(x) + g(x) so the sum is also even

    Is there any more to say on this?
    Sounds good to me.

    -Dan
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