English | Español

Try our Free Online Math Solver!

Online Math Solver

 

 

 

 

 

 

 

 
 
 
 
 
 
 
 
 

 

 

 
 
 
 
 
 
 
 
 

Please use this form if you would like
to have this math solver on your website,
free of charge.


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 *

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

Prev Next