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Unformatted text preview: Section 1.4 Rational Expressions The Domain of an Algebraic Expression The domain of an algebraic expression is the set of real numbers that the variable is permitted to have. EXAMPLES: 1. The domain of 2 x + 4 x 3 is all real numbers except 3. We can write this in set notation as { x  x = 3 } or ( , 3) (3 , ) 2. The domain of 1 5 x x 2 3 is all real numbers except 3: { x  x = 3 } or ( , 3) ( 3 , 3) ( 3 , ) 3. The domain of 2 x + 4 x 2 + 3 x + 2 is all real numbers except 1 and 2: { x  x = 1 and x = 2 } or ( , 2) ( 2 , 1) ( 1 , ) 4. The domain of 2 x + 4 x 2 + 2 is all real numbers R : ( , ) Simplifying Rational Expressions To simplify rational expressions, we factor both numerator and denominator and use the fol lowing property of fractions: AC BC = A B EXAMPLES: 1....
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 Spring '12
 KIRYLTSISHCHANKA
 Calculus, Algebra, Rational Expressions, Real Numbers

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