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# Try our Free Online Math Solver! Online Math Solver

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# Rational Functions and Multiplying and Dividing Rational Expressions

 Defns ☺ A rational expression is an expression that can be written as where P and Q are polynomials and Q is not 0. Give examples. ☺ Rational functions Give examples. ☺ The domain of a functions is the set of all permissible -values. For rational functions, the domain consists of all real numbers except those that make the denominator 0.

Ex 1 Find the domain of each rational function . Write answers using set notation. Fundamental Principle of Rational Expressions For any rational expression or, simply , *Always Factor First *

Ex 2 Simplify . Multiplying and Dividing Rational Expressions Let and S be polynomials . Then where and where and *Always Factor First *

Ex 3 Multiply or divide . Ex 4 (if time permits) A company’s cost per book for printing particular books is given by the rational function . Find the cost of printing

a) 100 books

b) 1000 books

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