Mock AIME 3 Pre 2005 Problems/Problem 3

Revision as of 08:35, 14 February 2008 by 1=2 (talk | contribs)


A function $f(x)$ is defined for all real numbers $x$. For all non-zero values $x$, we have

$2f\left(x\right) + f\left(\frac{1}{x}\right) = 5x + 4$

Let $S$ denote the sum of all of the values of $x$ for which $f(x) = 2004$. Compute the integer nearest to $S$.


This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

Invalid username
Login to AoPS