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4 February, 16:32

Prove that the sum of two odd functions is odd.

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  1. 4 February, 18:14
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    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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