1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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?
    Last edited by a moderator: May 3, 2015
  2. jcsd
  3. May 3, 2015 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    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!
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook