Domain of rational function with radical in the numerator

The video tutorial explains how to handle radicals and denominators in mathematical expressions. It covers setting up inequalities, using inverse operations, and the importance of flipping signs when multiplying or dividing by negative numbers. The tutorial also demonstrates factoring techniques and the application of the zero product property. Finally, it discusses graphing the results and defining the domain, highlighting the need to exclude certain undefined values.

What must you remember to do when multiplying or dividing an inequality by a negative number?

• Flip the inequality sign

• Add the same number to both sides

• Subtract the same number from both sides

• Keep the inequality sign the same

What is the first step in solving an equation using the zero product property?

• Divide by zero

• Set each factor equal to zero

• Multiply all terms by zero

• Add zero to both sides

When factoring a trinomial, what should you look for first?

• The coefficient of x

• The constant term

• Common terms

• The highest power of x

How is the domain of a function expressed when there are undefined values?

• Using a single interval

• Using multiple intervals

• As a single number

• As a fraction

Which of the following intervals correctly represents a domain excluding undefined values?

• (-∞, 3)

• (-∞, -4) ∪ (-4, 0) ∪ (0, 3)

• (0, ∞)

• (-4, 3)