Question

Let f be a real valued function such that f(x)+2f(2002/x)=3x for all x>0. Find f(2)

Answer 1

f(x)+f(2002/x)=3x
f(x)=3x-2f(2002/x)
f(2)=3.2-2f(2002/2)
=6-2f(1001)