2002 AMC 10P Problem 21

Let f be a real-valued function such that

f(x) + 2f(\frac{2002}{x}) = 3x

for all x>0. Find f(2).

\text{(A) }1000 \qquad \text{(B) }2000 \qquad \text{(C) }3000 \qquad \text{(D) }4000 \qquad \text{(E) }6000

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.