Operations with functions and finding the domain of each

The video tutorial covers operations on functions, including addition, subtraction, multiplication, division, and composition. It explains how to find the domain for each operation, emphasizing the importance of considering the original function when determining the domain. The tutorial also highlights the use of parentheses in subtraction and the FOIL method in multiplication. Factoring is discussed in the context of simplifying rational expressions during division.

What values of X make the denominator of the function X^2 - 9 / (X + 3) equal to zero?

When identifying the domain of a rational function, why is it important to consider the original function rather than the simplified version?

Describe the steps to find the domain of the function G of F of X, where F of X = X^2 - 9 and G of X = X + 3.