Question: Let F be any function whose domain contains - x when-ever it contains x. Prove each of the following. (a) F(x) - F (- x)

Let F be any function whose domain contains - x when-ever it contains x. Prove each of the following.
(a) F(x) - F (- x) is an odd function.
(b) F(x) + F(- x) is an even function.
(c) F can always be expressed as the sum of an odd and an even function.

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