Master The Domain of Rational and Radical Functions

The video tutorial explains how to determine the domain of rational and radical functions. It covers the basic principles of identifying values that are part of the domain and those that are not, focusing on conditions like the denominator being zero in rational functions and the radicand being negative in radical functions. The tutorial provides multiple examples, including functions with radicals, quadratics, and rational expressions, demonstrating how to solve inequalities and use interval notation to express domains.

What is the main idea when determining the domain of rational functions?

Explain why certain values are excluded from the domain of rational functions.

What values must be considered when determining the domain of radical functions?

How do you determine the domain of the function y = sqrt(3 - 2X)?

What is the significance of flipping the inequality sign when multiplying or dividing by a negative number?

Describe how to write the domain in interval notation for the function with the domain X ≤ 3/2.

What are the steps to find the domain of the function sqrt(X^2 - 4)?

What is the domain of the rational function if the denominator is X^2 - 2X?

How do you handle the domain restrictions when both a radical and a rational function are present?

Explain the process of finding the domain when both the numerator and denominator contain radicals.