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Fourier transform of f(-x)

  1. Sep 1, 2009 #1
    1. The problem statement, all variables and given/known data
    Find the Fourier transform of f(-x)


    2. Relevant equations



    3. The attempt at a solution
    The way I tried to solve is
    Fourier series is a sum of even and odd functions.
    If f(-x) is even then, f(-x)=f(x)
    If f(-x) is odd then, f(-x)= -f(x)

    Sum of even and odd function is neither even nor odd.
    I am lost after this. Any help?
     
  2. jcsd
  3. Sep 1, 2009 #2
    Can you write the general equation for finding a Fourier transform? Saying it is the "sum of even and odd functions" is pretty general. I've usually seen the transform as an integral containing a complex exponential or sines and cosines.
     
  4. Sep 1, 2009 #3
    ok.
    F(f(-x)) = int( f(-x) e^-i2pift dt)
    Not sure how to solve this.
     
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