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Lesson30

# Lesson30 - Lesson 30 Section 6.1 Rational Expressions and...

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1 Lesson 30 Section 6.1 Rational Expressions and Functions A Rational Expression is a polynomial divided by a non-zero polynomial. The following are examples of rational expressions. 8 5 2 , 1 3 , 5 9 , 2 , 4 3 2 2 2 - + - + - + y y y r r r x x w A Rational Function is a function where f ( x ) is represented by a rational expression. 1) Evaluate the following rational function for the given values. 5 1 3 ) ( 2 - + - = x x x x G for x = 0, -2, 3, and 5 Remember: No fraction (rational expression can have a zero denominator. When a rational expression or rational function has a single variable, the set of numbers that could be replaced for that variable is called the domain. No number can be included in the domain that makes a zero denominator when replaced for x (or the variable). When these numbers are determined, it is said these are the domain restrictions . For each rational expression or rational function, list all domain restrictions. 2 4 ( ) 3 2 ( ) ( 3)( 5) 2 ( ) ( 4)( 4) x A r x x x x B f x x x x C g x x x x x + = = + - = + -

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