Final answer:
The domain of f/g can be found by calculating the intersection of the domains of f and g, where g(x) is not equal to zero. The correct option is (F19)(x), as long as g(x) is not equal to zero for that domain.
Step-by-step explanation:
The domain of f/g can be calculated by looking at the domain of both f and g separately. The domain of f/g will be the intersection of the domains of f and g, where g(x) is not equal to zero. First, determine the domain of f by looking for any restrictions or limitations in the given information. If no restrictions are mentioned, the domain of f is assumed to be all real numbers. Next, determine the domain of g by looking for any restrictions or limitations in the given information. If no restrictions are mentioned, the domain of g is also assumed to be all real numbers, except where g(x) is equal to zero. Finally, find the intersection of the domains of f and g. This means finding the values of x that satisfy both the domain of f and the domain of g, excluding any values where g(x) is equal to zero. Therefore, the correct option is d. (F19)(x), as long as g(x) is not equal to zero for that domain.