Functions Question

GRE Quant Problem Solving
1

Hi everyone, i am unable to understand the explanation given for the question in the picture (without backsolving)

I follow till the n is replaced by n+1 and dividing by the same to get x^n but do not follow the logic given thereafter which allows us to bring the (n+1) in the denominator within the function.

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image325×855 41 KB

2

Hint: use the second equation.

3

Understood. If we replace n with 1/(n+1) for n*f(x) we can bring it within the function.