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A math blog problem

  1. May 3, 2015 #1
    Hi, I came upon this problem in an old paper in my desk. I remember that I read it on the internet (I'm almost sure from the math blog gaussianos.com) and couldn't solve it. I study engineering.
    The problem is to find an ƒ(t) such that:

    ƒ[(x^2) + x*y + ƒ(y)] = [ƒ(x)]^2 + x*ƒ(y) + y

    I'm not sure if it asked to find a general function that meets this condition or just a particular solution.
    Anyone knows how to get their hands around it?
    Thanks!
     
    Last edited by a moderator: May 3, 2015
  2. jcsd
  3. May 3, 2015 #2

    PeroK

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    You could always try a few functions, starting with the simplest you can think of.
     
    Last edited by a moderator: May 3, 2015
  4. May 3, 2015 #3
    You're right. f (t)=t is the simplest solution... how could have I not seen it... anyway I am still curious about how to approach this problem to solve it analytically to find the more general and widest solution possible.

    Thank you very much!
     
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