How to find the domain of a radical function

The video tutorial explains the function F(X) = sqrt(2X - 3) and its domain. Initially, the implied domain is all real numbers, but due to the radical, the domain is restricted to values where 2X - 3 is greater than or equal to zero. The domain is solved to be from 3/2 to infinity. The tutorial also covers how to represent the domain graphically and the use of brackets and parentheses in domain notation.

What is the implied domain of the function F(X) = sqrt(2X - 3)?

• X must be less than 3/2

• X must be greater than or equal to 3/2

• X must be greater than or equal to 0

• All real numbers

What inequality must be solved to find the domain of F(X) = sqrt(2X - 3)?

• 2X - 3 > 0

• 2X - 3 <= 0

• 2X - 3 < 0

• 2X - 3 >= 0

What is the domain of the function F(X) = sqrt(2X - 3) in interval notation?

• [3/2, ∞)

• (3/2, ∞)

• (-∞, ∞)

• (-∞, 3/2]

Why do we use a bracket in the interval notation for the domain of F(X) = sqrt(2X - 3)?

• Because 3/2 is not included in the domain

• Because 3/2 is included in the domain

• Because the function is undefined at 3/2

• Because infinity is a finite number

What is the significance of using parentheses in interval notation?

• It indicates the number is included in the domain

• It is used for negative numbers

• It is used for finite numbers

• It indicates the number is not included in the domain