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The Function f(x)f(x) Has Odd Symmetry and the Function g(x)g(x) Has Even Symmetry

Question 69

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The function f(x)f(x) has odd symmetry and the function g(x)g(x) has even symmetry. Is the function h(x)=2g(x+1)h(x)=2 g(x+1) odd, even, or neither?

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