KMO 2004 Problem 1

For arbitrary real number $x$ , the function $f : \mathbb R \to \mathbb R$ satisfies $f(f(x))-x^2+x+3=0$ . Show that the function $f$ does not exist.

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.