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Rational Functions and Multiplying and Dividing Rational Expressions
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 * 
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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