Balti Tee 2022 · Ülesanne 1

Let $\mathbb R^+$ denote the set of positive real numbers. Assume that $f:\mathbb R^+\to\mathbb R^+$ is a function satisfying the equations

for all $x\in\mathbb R^+$. Find all possible values of $f\!\left(\sqrt[2022]{2}\right)$.