Find the domain of the rational function

The video tutorial explains how to find values excluded from the domain by setting the denominator of a function to zero. It demonstrates factoring out variables and applying the zero product property to solve for these values. The tutorial concludes by identifying the excluded values and explaining the answer.

What is the first step in finding values excluded from the domain?

• Set the denominator equal to zero

• Multiply both sides by zero

• Add 36 to both sides

• Set the numerator equal to zero

What mathematical property is used after factoring out the variable X?

• Commutative Property

• Distributive Property

• Associative Property

• Zero Product Property

After setting X + 36 = 0, what is the value of X?

• X = -36

• X = 36

• X = 72

• X = 0

Which values are excluded from the domain in this example?

• X = 0 and X = 36

• X = 0 and X = -36

• X = 36 and X = -36

• X = 0 and X = 72

How are the excluded values represented in the answer?

• All real numbers except for X = 36 and X = -36

• All real numbers except for X = 0 and X = -36

• All real numbers except for X = 0 and X = 72

• All real numbers except for X = 0 and X = 36