If f(x)=2xf(x) = 2^xf(x)=2x and g(x)=log2(x)g(x) = \log_2(x)g(x)=log2(x), determine the domain of h(x)=f(x)+g(x)h(x) = f(x) + g(x)h(x)=f(x)+g(x).
(0,∞)(0, \infty)(0,∞)
[0,∞)[0, \infty)[0,∞)
All real numbers
(2,∞)(2, \infty)(2,∞)