Dividing two functions then determine the domain

The video tutorial explains how to determine the domain of a function composition, specifically F of G of X, by dividing F of X by G of X. It highlights the importance of understanding domain restrictions, such as not dividing by zero and not taking the square root of a negative number. The tutorial demonstrates solving inequalities to find domain restrictions and uses interval notation and graphing to represent the domain visually.

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

• Multiplying F of X by G of X

• Adding F of X to G of X

• Subtracting G of X from F of X

• Dividing F of X by G of X

Which of the following is a restriction on the domain of a function?

• The numerator cannot be zero

• The denominator can be zero

• The square root of a negative number is allowed

• The denominator cannot be zero

Why can't the denominator equal zero in a function?

• It would make the function equal to zero

• It would make the function infinite

• It would make the function undefined

• It would make the function negative

How do you express a domain that does not include a specific number in interval notation?

• Use a bracket around the number

• Use a parenthesis around the number

• Use a square bracket around the number

• Use a curly brace around the number

What does an open circle on a line graph indicate about a value in the domain?

• The value is the maximum of the domain

• The value is the minimum of the domain

• The value is excluded from the domain

• The value is included in the domain