Learn how to determine the domain from the quotient of two functions

The video tutorial covers solving a division problem involving functions F of G of X. It explains the process of dividing the F of X function by the G of X function and discusses the simplification and domain restrictions. The tutorial highlights the importance of understanding restrictions when variables are in the denominator or under a radical. It provides a step-by-step approach to solving these restrictions and demonstrates how to write the domain using interval notation, emphasizing the need to exclude certain values.

What is the result of dividing the function F(x) by G(x) in the given problem?

• sqrt(X) divided by (2X - 1)

• X divided by sqrt(2X - 1)

• 2X divided by sqrt(X - 1)

• 2X divided by (X - 1)

Which of the following is a restriction when determining the domain of a function?

• The function must be differentiable.

• The variable cannot be in the denominator.

• The variable cannot be in the numerator.

• The function must be continuous.

How do you determine the restriction for a variable under a radical symbol?

• Set the radicand less than zero.

• Set the radicand equal to zero.

• Set the radicand greater than or equal to zero.

• Set the radicand not equal to zero.

What is the domain of the function given the restrictions discussed?

• All values of X less than 0

• All values of X greater than 1

• All values of X less than or equal to 1

• All values of X greater than or equal to 0, except X cannot be 1

How is the domain expressed in interval notation for the given problem?

• [0, 1) U (1, ∞)

• (0, ∞)

• (0, 1) U [1, ∞)

• [0, ∞)