Problem

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2020 p4

Tags: algebra, functional equation, functional, function



Consider the function $ h$, defined for all positive real numbers, such that: $$10x -6h(x) = 4h \left(\frac{2020}{x}\right) $$for all $x > 0$. Find $h(x)$ and the value of $h(4)$.