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Homework Help: Constructin even functions

  1. Jul 4, 2010 #1
    1. The problem statement, all variables and given/known data
    Let [tex]f_1(x)[/tex] and [tex]f_2(x)[/tex] be odd and even functions respectively. How can we construct an even function out of these?


    2. Relevant equations
    [tex]f_1(x)=-f_1(-x)[/tex]
    [tex]f_2(x)=f_2(-x)[/tex]


    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jul 5, 2010 #2

    Mentallic

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    Homework Helper

    Re: Functions

    Are there any restrictions to what we can do?

    [tex]f_1(x)f_2(x)[/tex] would be an odd function, can you show why?

    Then we could supposedly square the entire thing and end up with an even function... But I don't know exactly what you're looking for.
     
  4. Jul 5, 2010 #3
    Re: Functions

    No, there are no restrictions to what we can do.
    yes, I can see that it is an odd function since it gives me-
    [tex]
    -f_1(-x)f_2(-x)
    [/tex]
     
  5. Jul 5, 2010 #4

    Mentallic

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    Homework Helper

    Re: Functions

    Right, so is squaring the product of the functions enough here, or are you looking for something more?
     
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