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Let G(x)=(1/(a^x-1)+1/2)F(x), where a is...

Let `G(x)=(1/(a^x-1)+1/2)F(x),` where a is a positive real number not equal to 1 and `f(x)` is an odd function. Which of the following statements is true? (a)`G(x)` is an odd function (b)`G(x)i s` an even function (c)`G(x)` is neither even nor odd function. (d)Whether `G(x)` is an odd or even function depends on the value of a

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