Uniformly Continuous Functions

Determine whether each of the following is uniformly continuous on its domain.

1. f: [0,2]-->R with f(x) = 5cos(x) - x^2 /(x-7)
2. g: (0,1]-->R with g(x) = sin(1/x)
3. h: [1,inf)-->R with h(x) = 1/x