(Section 1.7: Symmetry Revisited) 1.7.2 Example 1 (A Proof: The Sum of Odd Functions is Odd)Prove that the sumof two oddfunctions is also odd. § Solution• Letfand gbe odd functions. Let h=f+g. • Let D=Domf()±Domg. Then, D=Domh. • Becausefand gare odd on D, ±x²D, f±x=±fx, and g±x=±gx. • Show that his odd. That is,
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Summation, Even and odd functions, Symmetry Revisited