# Even, Odd is Ordinary

Algebra Level 3

$\begin{eqnarray} e(x)+o(x) &= & f(x) \\ e(x)+x^2& =& o(x) \\ \end{eqnarray}$ If the above two equations are true for every real $$x$$ where $$e(x)$$ and $$o(x)$$ are any even and odd functions respectively whereas $$f(x)$$ may be an ordinary function. Find $$f(2).$$

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