Find the domain of the composition g(f(x))g(f(x))g(f(x)) where f(x)=1xf(x) = \frac{1}{x}f(x)=x1 and g(x)=x−2g(x) = \sqrt{x-2}g(x)=x−2.
x≥1/2x \ge 1/2x≥1/2
0<x≤1/20 < x \le 1/20<x≤1/2
x>0x > 0x>0
x≤1/2x \le 1/2x≤1/2