How to find the domain of a rational function with a radical in the denominator

The video tutorial discusses handling numerators and radicals in denominators, focusing on restrictions and solving inequalities. It explains how to treat restrictions separately and solve for inequalities involving radicals. The tutorial also covers graphing the solution set and concludes with a summary of key points.

Why is it important to treat the restrictions in the denominator separately when dealing with radicals?

• To simplify the expression

• To make the equation linear

• To avoid division by zero and ensure the expression under the radical is non-negative

• To ensure the numerator is always positive

What is the first step in solving the inequality involving a radical expression?

• Multiply both sides by the radical

• Divide by the coefficient of the variable

• Add a constant to both sides

• Square both sides to eliminate the radical

What does the inequality X ≥ 4/3 represent in the context of the problem?

• X can be any real number

• X must be less than 4/3

• X must be equal to 4/3

• X must be greater than or equal to 4/3

Why is the value X = 4/3 excluded from the solution set?

• Because it makes the denominator zero

• Because it makes the numerator zero

• Because it is not a real number

• Because it is an imaginary number

How is the solution set graphically represented when X cannot equal 4/3?

• With a closed dot at 4/3

• With an open dot at 4/3

• With a shaded region including 4/3

• With a line through 4/3