Given the functions h(x) = (1)/(√(x)) and f(x) = x^2 - 4, what is the domain of the function (h(x))/(f(x))?

A) (-[infinity], -2) ∪ (-2, 0) ∪ (0, [infinity])
B) (-[infinity], -2) ∪ (-2, 0) ∪ (0, 2) ∪ (2, [infinity])
C) (-[infinity], -2) ∪ (-2, 0) ∪ (0, 4) ∪ (4, [infinity])
D) (-[infinity], -2) ∪ (-2, 0) ∪ (0, [infinity])

What is the domain of the function h(f(x))?

A) (-[infinity], -2) ∪ (-2, 0) ∪ (0, [infinity])
B) (-[infinity], -2) ∪ (-2, 0) ∪ (0, 2) ∪ (2, [infinity])
C) (-[infinity], -2) ∪ (-2, 0) ∪ (0, 4) ∪ (4, [infinity])
D) (-[infinity], -2) ∪ (-2, 0) ∪ (0, [infinity])

What is the domain of the function f(h(x))?

A) (-[infinity], -2) ∪ (-2, 0) ∪ (0, [infinity])
B) (-[infinity], -2) ∪ (-2, 0) ∪ (0, 2) ∪ (2, [infinity])
C) (-[infinity], -2) ∪ (-2, 0) ∪ (0, 4) ∪ (4, [infinity])
D) (-[infinity], -2) ∪ (-2, 0) ∪ (0, [infinity])