What is the domain of the quotient between a radical function and quadratic

The video tutorial explains the concept of G of F of X, focusing on the domains of functions G(x) and F(x). It discusses how to handle operations like addition, subtraction, multiplication, and division, emphasizing the importance of domain restrictions, especially when a function is in the denominator. The tutorial guides viewers through combining domains and identifying valid domain intersections, concluding with a comprehensive domain analysis.

What is the domain of the function G(x) = sqrt(x - 1)?

• x = 1

• x < 1

• x > 1

• All real numbers

When dividing G(x) by F(x), why is it important to consider the denominator?

• Because it can equal zero

• Because it can be any real number

• Because it changes the function type

• Because it affects the range

What is the domain of F(x) = x^2 - 1 when it is in the denominator?

• All real numbers

• All real numbers except 0

• All real numbers except -1 and 1

• x > 0

How do you determine the domain of a combined function when dividing?

• By adding the domains

• By subtracting the domains

• By finding the intersection of the domains

• By multiplying the domains

What is the final domain for the combined function G(x) / F(x)?

• x = 1

• x < 1

• x > 1

• All real numbers