- #1
GBarboza
- 2
- 0
Homework Statement
A friend of mine tried to classify for the IMO a few days ago (he didn't do so well). A problem he had to solve was:
f(x + xy + f(y)) = (f(x) + 1/2)(f(x) + 1/2)
I didn't really understand what he said later. First he told me to find the values of X and Y for which this function makes sense, but later I asked him if it said anything more and he told me the domain and codomain were both R, which is a bit weird. As far as I know, the domain is all possible values of X.
Homework Equations
I probably misunderstood. I would appreciate it if anyone could tell me what it probably was, and, even better, tell me how to proceed.
The Attempt at a Solution
I got as far as f(x) = -1/2 +- f(x + xy + f(y)) using the quadratic formula... which checks out. My dad says I'm missing information. I don't really understand all this much.