Section_1.4-Rational Expressions

# Section_1.4-Rational Expressions - Section 1.4 Rational...

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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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Section_1.4-Rational Expressions - Section 1.4 Rational...

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