How to add two functions and evaluate for a given value

The video tutorial explains how to combine two functions, F(x) and G(x), by adding them together. It discusses the notation F + G of X and emphasizes that the functions cannot be combined if they are not like terms. The tutorial also covers how to determine the domain of the combined function, highlighting that the domain is all values of X greater than or equal to -1. Finally, it demonstrates evaluating the combined function for a specific input, noting the use of imaginary numbers when the input is outside the domain.

What does the notation F + G of X represent in terms of combining functions?

Can the functions F(X) = X^2 and G(X) = sqrt(X) + 1 be combined? Why or why not?

How do you determine the domain of the function F(X) + G(X)?

What values of X are allowed in the domain of the function F(X) + G(X)?

What happens when you evaluate F + G for X = -2? Explain the result.