Quotient of two linear functions to determine the domain

The video tutorial explains how to divide two functions, F(x) and G(x), and the implications for the domain of the resulting function. It highlights that while addition, subtraction, and multiplication of functions do not affect the domain, division introduces a constraint because the denominator cannot be zero. The tutorial walks through the process of identifying this constraint, setting the denominator equal to zero, and determining the restricted domain. It concludes with instructions on how to graph the domain, emphasizing the use of parentheses to denote undefined points and the use of a union symbol to connect intervals.

What is the main operation being discussed in the text regarding functions?

What is the significance of the intersection of the two functions mentioned in the text?

Why is the domain of the function restricted when performing division?

What values must be excluded from the domain when dividing the functions?

How do you represent the domain of the function in interval notation?