MathNet 2023-part-05 — 191 problems (EN–VI) Question 146

Consider function $f : \mathbb{R} \to \mathbb{R}$ such that $x^2 f(x - y^2) \geq (x + 2y + 1) f(x)$ for all $x, y \in \mathbb{R}$. Calculate $f(2022)$.