olymmath

CAPS 1997 Problem 3

    Find all functions f:R→Rf : R\rightarrow R such that f(f(x)+y)=f(x2−y)+4f(x)yf ( f (x)+y) = f (x^2 -y)+4 f (x)y for all x,y∈Rx,y \in R .

    Dataset text AI-MO AoPS. Quoted with source.

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