TUYMAADA 2021 S1

Polynomials $F$ and $G$ satisfy: $F(F(x))>G(F(x))>G(G(x))$ for all real $x$ .Prove that $F(x)>G(x)$ for all real $x$ .

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.