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marusya05 [52]
3 years ago
9

Prove that the sum of two odd functions is odd.

Mathematics
1 answer:
katrin [286]3 years ago
7 0
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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