Let satisfy f(x)+2 f ( 2002 x )=3 x (x>0) Find .

MATHEMATICS · Subjective · AoPS · Mathematics · Functions · Functions

Problem

Let

f:(0, \infty) \rightarrow \mathbb{R}

satisfy

f(x)+2 f\left(\frac{2002}{x}\right)=3 x \quad(x>0)

Find

f(2)