How to write the domain of a rational function with a radical in the numerator

The video tutorial explains how to identify and solve restrictions in equations, focusing on two specific restrictions. The first restriction involves ensuring values under a radical are non-negative, while the second checks for non-zero denominators. The tutorial also covers graphing solutions and interpreting results, emphasizing the importance of understanding these concepts in algebra.

What is the first restriction mentioned in the video regarding the expression under the radical?

• X must be less than 0

• X must be less than or equal to 0

• X must be greater than or equal to 0

• X must be equal to 0

Why can't the square root of a negative number be taken in the real number system?

• Because it results in an undefined number

• Because it results in zero

• Because it results in a positive number

• Because it results in a complex number

What conclusion is drawn about the quadratic expression X^2 + 1 in terms of restrictions?

• It has no restriction in the real number system

• It has a restriction at X = 0

• It has a restriction at X = -1

• It has a restriction at X = 1

What is the only restriction that needs to be considered for the expression?

• X is not equal to 1

• X is less than 1

• X is equal to 1

• X is greater than or equal to 1

How is the restriction X ≥ 1 represented on a number line?

• A closed circle at 1 with a line extending to the left

• An open circle at 1 with a line extending to the right

• A closed circle at 1 with a line extending to the right

• An open circle at 1 with a line extending to the left