Rational Expressions and Domain - Find the Domain of Rational Functions
In this video, I discuss how to find the domain of rational functions by identifying where the denominator equals zero as these are the values that are omitted from the set of real numbers which will then give the domain of the rational function.
I work through 3 complete examples of rational expressions that have quadratic denominators or can be factored into quadratic expressions.
These examples are fundamental to understanding how to work with rational functions and avoid undefined expressions. Understanding how to find the domain of a rational function is crucial for algebra, precalculus, and calculus students. Be sure to understand this topic well as it forms the basis for analyzing and graphing rational functions.
What You Will Learn
How to find the domain of rational functions.
Techniques to factor denominators to identify domain restrictions.
How to handle different types of rational expressions.
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❖ Rational Functions and Domain ❖
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mathalgebrarationalexpressiondomainfactorquadraticequationeducationfreeclassAPBCGREACTfindrational expressionsdomain of rational functionsfinding the domainquadratic denominatorfactoring rational expressionsmath helpprecalculuscalculusPatrickJMTmath tricksmath conceptsfunction restrictionsgraphing rational functions