MathDB
Real Valued Function

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April 2, 2013
function

Problem Statement

Let ff be a real-valued function such that f(x)+2f(2002x)=3xf(x)+2f\left(\dfrac{2002}x\right)=3x for all x>0x>0. Find f(2)f(2).
<spanclass=′latex−bold′>(A)</span>1000<spanclass=′latex−bold′>(B)</span>2000<spanclass=′latex−bold′>(C)</span>3000<spanclass=′latex−bold′>(D)</span>4000<spanclass=′latex−bold′>(E)</span>6000<span class='latex-bold'>(A) </span>1000\qquad<span class='latex-bold'>(B) </span>2000\qquad<span class='latex-bold'>(C) </span>3000\qquad<span class='latex-bold'>(D) </span>4000\qquad<span class='latex-bold'>(E) </span>6000
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