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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