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Mathematics

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Math Fundamentals

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Foundations of Mathematics

Working with Rational Expression Domains

Description

Rational expressions are algebraic fractions with polynomials in the numerator and denominator. They follow the same basic rules as numerical fractions, but variables make them more delicate to work with. A key step is finding values that make the expression undefined, usually because of division by zero or an undefined radi...

Transcript

In a growing city, expanding limits and new housing developments increase the population, leading to crowding. Population density quantifies how crowded the city becomes.

It can be modeled as a rational expression in terms of time, t, a fraction where the numerator is the total population and the denominator is the total area.

Tags

Domain RestrictionsSimplifying FractionsMultiplying FractionsDividing FractionsAdding FractionsFactoring PolynomialsCanceling Common TermsAlgebraic FractionsVariable Relationships