Pre-Calculus - How to evaluate the composition of two functions and determine the domain

The video tutorial covers the addition of functions, explaining how to add two functions, F(x) and G(x), and the importance of identifying the domain of the resulting function. The domain is defined as the set of X values that can be used in the function, focusing on values greater than or equal to zero. The tutorial concludes with an example to illustrate the concept.

What does the addition of functions F of X and G of X entail?

What is the significance of identifying like terms when adding functions?

How do you determine the domain of the function resulting from the addition of F of X and G of X?

What are the restrictions on the values of X when considering the domain for the function F of X = X^2 + 1 and G of X = sqrt(X)?

Explain why the domain of the function is all values greater than or equal to 0.