NL-NWO 1991 Problem 3

A real function $f$ satisfies $4f(f(x))-2f(x)-3x=0$ for all real numbers $x$ . Prove that $f(0)=0$ .

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.