KG-MO 2012 Problem 4

Find all functions $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)^2+f(y)) = xf(x)+y$ , $\forall x,y\in R$ .

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.