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Value of even plus odd function

High school · ●●○○○ 20 pts

Let e(x)e(x) be an even function and let o(x)o(x) be an odd function such that e(x)+x2=o(x)e(x) + x^2 = o(x) for all xx. Let f(x)=e(x)+o(x)f(x) = e(x) + o(x). Find f(2)f(2).

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even and odd functionsfunctional equationsfunction symmetry