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Math Help - Function finding

  1. #1
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    Function finding

    To determine all the functions f defined on the set of real numbers and obtaining real values such that for any real numbers x, y such equation is true:
    f(x+f(x+y))-f(x-y)-f(x)^2=0

    It works supposing f(x)=0$ and $f(y)=0 but I'm clueless on the next step. Could you please help?
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  2. #2
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    Re: Function finding

    Where from do you know that f(x)=0 ,and ,f(y)=0 are all function that satisfy this equation?
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  3. #3
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    Re: Function finding

    I don't. It was just an example set of correct data. As I stated, I don't know how to acquire the other ones...
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  4. #4
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    Re: Function finding

    Quote Originally Posted by GGPaltrow View Post
    To determine all the functions f defined on the set of real numbers and obtaining real values such that for any real numbers x, y such equation is true:
    f(x+f(x+y))-f(x-y)-f(x)^2=0

    It works supposing f(x)=0$ and $f(y)=0 but I'm clueless on the next step. Could you please help?
    Asked here: http://www.mathhelpforum.com/math-he...on-188990.html

    Thread closed.
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