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## anonymous 4 years ago show that any function f(x) can be decomposed uniquely into a purely even part and a purely odd part$f(x) = f_E(x) + f_O(x)$

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1. JamesJ

Hint: look at $\frac{f(x) + f(-x)}{2}$ and $\frac{f(x) - f(-x)}{2}$

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