Consider the functions f(x)=xf(x)=\sqrt{x} and g(x)=x+12g(x)=\sqrt{x}+\frac{1}{2}, which are defined for nonnegative xx.

If f(n)=52f(n)=\frac{5}{2} for some positive number nn, what is the value of g(n)g(n)?

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