Find the domain of the function with a radical in the denominator

The video tutorial covers solving inequalities involving radicals and denominators. It explains the process of setting up inequalities, solving them, and using the number line method to visualize solutions. The tutorial emphasizes the importance of understanding constraints and how to apply them effectively.

What must be true about the expression under a radical for it to be valid?

• It must be non-negative.

• It must be positive.

• It must be negative.

• It must be zero.

What condition must be met for a denominator in an equation?

• It cannot be zero.

• It must be greater than zero.

• It must be less than zero.

• It must be equal to zero.

What is the first step in solving an equation with a radical?

• Divide both sides by a constant.

• Add a constant to both sides.

• Subtract a constant from both sides.

• Square both sides of the equation.

When using the number line method, what does a closed circle indicate?

• The endpoint is included in the solution.

• The endpoint is a maximum value.

• The endpoint is a minimum value.

• The endpoint is not included in the solution.

What does the number line method help determine in solving equations?

• The range of possible solutions.

• The average of all solutions.

• The exact solution of the equation.

• The midpoint of the solution range.