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(x) and G(x) result in?

• The difference between F(x) and G(x)

• The sum of F(x) and G(x)

• The product of F(x) and G(x)

• The division of F(x) by G(x)

When adding functions, what should you do if there are no like terms?

• Multiply the terms

• Subtract the terms

• Leave the terms as they are

• Divide the terms

What is the domain of a function?

• The set of y-values that can be output

• The set of x-values that can be input

• The set of all possible values

• The set of negative values

For the functions F(x) = x^2 + 1 and G(x) = sqrt(x), what is the domain?

• All numbers less than zero

• All numbers greater than or equal to zero

• All real numbers

• All positive numbers

Why can't the square root of a negative number be included in the domain?

• Because it results in a negative number

• Because it results in zero

• Because it results in an undefined value

• Because it results in a complex number