Question

The resulting domain is the ____of the two parent domains. If we are looking at the special case of dividing, we also need to remove g(x)=____ from the____of the two parent domains.

In Calculus, you will learn new operations on functions. One of the most important things to keep in mind is the relationship between the domain of the "parent function resulting function.

Answer 1

In Calculus, the resulting domain of two combined parent functions is the intersection of their domains, except in the case of dividing, where we also remove values that make the denominator zero.

Step-by-step explanation:

In Calculus, when combining two parent functions, the resulting domain is the intersection of the two parent domains. However, in the special case of dividing, we also need to remove the values that would make the denominator equal to zero from the intersection of the two parent domains.

For example, if we have two parent functions f(x) and g(x), and we want to find the domain of the resulting function h(x) = f(x)/g(x), we need to find the intersection of the domains of f(x) and g(x). If the denominator, g(x), has any values that would make it equal to zero, we need to remove those values from the intersection.