# Even, Odd is Ordinary

Algebra Level 2

\begin{aligned} e(x)+o(x) &= & f(x) \\ e(x)+x^2& =& o(x) \\ \end{aligned} 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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