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Q34Section B (Section B)34 of 60

Even and odd functions from a composite definition

Let f:R→Rf:\mathbb R\to\mathbb R. Define g:R→Rg:\mathbb R\to\mathbb R by g(x)=f(x)(f(x)+f(−x))g(x)=f(x)\left(f(x)+f(-x)\right). Then

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