Learn how to find the domain from dividing two functions

The video tutorial explains the functions G(x) and F(x), where G(x) is the square root of x and F(x) is x^2 + 1. It discusses how to find the domain of a rational function by setting the denominator equal to zero and explains that the domain includes all real numbers since the denominator never equals zero for real numbers. The tutorial also covers the concept of zero and infinity in the context of rational functions.

What is the function G(x) in the given rational function?

• x^2 + 1

• 1/x

• x^3

• Square root of x

Why can't the denominator of the function be zero for real numbers?

• Because x^2 + 1 is always negative

• Because x^2 + 1 is always positive

• Because x^2 + 1 is undefined

• Because x^2 + 1 can be zero

What is the restriction on the numerator of the function?

• It must be equal to zero

• It must be greater than zero

• It must be greater than or equal to zero

• It must be less than zero

What is the significance of setting the denominator equal to zero?

• To find the range of the function

• To find the minimum value of the function

• To find the values that are not in the domain

• To find the maximum value of the function

Why is infinity not considered a number in the context of domains?

• Because it is undefined

• Because it cannot be contained

• Because it is not a real number

• Because it is too large