Final answer:
The domain of function h is the same as the domain of function g, which is -6 ≤ x ≤ 12.
Step-by-step explanation:
The domain of the function g is -6 ≤ x ≤ 12. If the function h is given by h(x) = 3g(x), the domain of h is the same as the domain of g, which is -6 ≤ x ≤ 12.
The concept of domain refers to the set of all possible input values for a function. In this case, the function h is derived from the function g by multiplying it by 3. However, since the multiplication does not alter the range of possible input values, the domain of h remains the same as the domain of g.