How to identify the domain from the quotient of two functions

The video tutorial explains how to interpret and simplify the notation G of X / F of X, focusing on the functions G of X = sqrt(X) - 1 and F of X = 2X. It discusses the simplification process and the use of the distributive property. The tutorial then delves into domain restrictions, highlighting the importance of ensuring the denominator is not zero and the radicand is non-negative. Finally, it concludes with an analysis of domain constraints, determining that the domain is X > 0.

What does the notation G(x) / F(x) represent?

• The product of G(x) and F(x)

• The subtraction of F(x) from G(x)

• The sum of G(x) and F(x)

• The division of G(x) by F(x)

Why can't the expression G(x) / F(x) be simplified further?

• Because G(x) is a constant

• Because F(x) is zero

• Because 2X cannot be divided into sqrt(X) or -1

• Because G(x) and F(x) are equal

What is one of the domain restrictions for the function G(x) / F(x)?

• X must be less than zero

• X cannot be zero

• X must be a negative number

• X must be equal to zero

Why must X be greater than or equal to zero in the function G(x) / F(x)?

• Because X is in the numerator

• Because X is a negative number

• Because X is under a square root

• Because X is a constant

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

• X is less than zero

• X is greater than zero

• X is equal to zero

• X is not a real number