Determine domain with a quadratic radicand in the denominator

The video tutorial covers solving equations with constraints, focusing on inequalities and domain analysis. It begins by explaining the constraints of the equation, followed by steps to solve it, including squaring both sides and introducing square roots. The tutorial then delves into handling inequalities, emphasizing the importance of flipping the inequality sign when introducing a negative. Finally, it analyzes the domain of the function, identifying values that are not part of the domain, and concludes with clarifications.

What is the primary constraint when dealing with the expression in the denominator?

• It must be greater than zero.

• It must not equal zero.

• It must be less than zero.

• It must equal zero.

When solving inequalities, what must you do if you introduce a negative sign?

• Multiply both sides by two.

• Flip the inequality sign.

• Ignore the negative sign.

• Add the negative sign to both sides.

How is the inequality represented on a number line when a value cannot be included?

• With a dashed line.

• With a closed circle.

• With a shaded region.

• With an open circle.

Which of the following values is not part of the domain?

• -2

• 0

• 2

• 1/4

What happens when you plug zero into the equation discussed?

• It results in a valid number.

• It becomes undefined.

• It equals one.

• It equals negative one.