Add an absolute value function and quadratic to find the domain

The video tutorial explains how to add two functions, F(x) and G(x), and discusses the resulting function's domain. It highlights that both functions have domains of all real numbers, and thus their sum also has a domain of all real numbers. The tutorial emphasizes understanding the properties of absolute value and quadratic functions and how they affect the domain when combined.

How does the addition of two functions with all real numbers as their domain affect the resulting function's domain?

Discuss the significance of graphing the combined function as mentioned in the text.