Final answer:
The domain of function g(x) is the same as the domain of f(x) since g(x) is defined in terms of f(x). The given conditions specify that f(x) is a continuous probability function restricted to 0 ≤ x ≤ 12. Therefore, the domain of g(x) is also 0 ≤ x ≤ 12.
Step-by-step explanation:
The domain of function g(x) is the set of all possible input values for which the function is defined. In this case, the domain of g(x) is the same as the domain of f(x) since g(x) is defined in terms of f(x).
The given conditions state that f(x) is a continuous probability function restricted to 0 ≤ x ≤ 12. Therefore, the domain of g(x) is also 0 ≤ x ≤ 12.
So, the domain of function g is the closed interval [0, 12].