MathDB

10x - 6 h(x) = 4 h(2020/x)

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

March 26, 2024

algebrafunctional equationfunctionalfunction

Problem Statement

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)