KG-MO 2009 Problem 3

For function $f: \mathbb{R} \to \mathbb{R}$ given that $f(x^2 +x +3) +2 \cdot f(x^2 - 3x + 5) = 6x^2 - 10x +17$ , calculate $f(2009)$ .

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.