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28-06-2017
Mathematics

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Prove that the sum of two odd functions is odd.

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RickyChen RickyChen

28-06-2017

Odd function: f(-x) = -f(x)

Let two odd functions be f(x) and g(x)

Let k(x) = f(x) + g(x)

Then k(-x) = f(-x) + g(-x) = -(f(x) + g(x)) = -k(x)

So k(x) is odd too.

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