“Students are able to determine the domain and range of a function after a transformation, but many students have difficulty determining the domain after the division of two functions”.
The domain of a quotient of functions is the domain common to both (overlap) f(x) and g(x).
The domain is further restricted by excluding values where g(x) = 0.
Visually representing the overlap, or common domain, on a graph can be useful.
Domain After the Division of Two Functions Practice