Proof
(a) Given a function f, prove that g is even and h is odd, where
(b) Use the result of part (a) to prove that any function can be written as a sum of even and odd functions. [Hint: Add the two equations in part (a).]
(c) Use the result of part (b) to write each function as a sum of even and odd functions.
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Precalculus (MindTap Course List)
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