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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