Precalc0105to0107-page32

Precalc0105to0107-page32 - (Section 1.7: Symmetry...

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(Section 1.7: Symmetry Revisited) 1.7.2 Example 1 (A Proof: The Sum of Odd Functions is Odd) Prove that the sum of two odd functions is also odd . § Solution • Let f and g be odd functions. Let h = f + g . • Let D = Dom f () ± Dom g . Then, D = Dom h . • Because f and g are odd on D , ± x ² D , f ± x = ± fx , and g ± x = ± gx . • Show that h is odd. That is,
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