Chap7 Section5

Elementary and Intermediate Algebra: Graphs & Models (3rd Edition)

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Section 7.5 Sums and Differences of Rational Functions 691 Version: Fall 2007 7.5 Exercises In Exercises 1 - 16 , add or subtract the rational expressions, as indicated, and simplify your answer. State all restric- tions. 1. 7 x 2 49 x x 6 + 42 x 6 2. 2 x 2 110 x 7 12 7 x 3. 27 x 9 x 2 x + 3 + 162 x + 3 4. 2 x 2 28 x + 2 10 x x + 2 5. 4 x 2 8 x 4 + 56 4 x 6. 4 x 2 x 2 36 x 56 x 2 7. 9 x 2 x 1 + 72 x 63 1 x 8. 5 x 2 + 30 x 6 35 x x 6 9. 4 x 2 60 x x 7 + 224 x 7 10. 3 x 2 x 7 63 30 x 7 x 11. 3 x 2 x 2 48 30 x 2 x 12. 4 x 2 164 x 6 20 6 x 13. 9 x 2 x 2 81 x 126 x 2 Copyrighted material. See: 1 14. 9 x 2 x 8 + 144 x 576 8 x 15. 3 x 2 12 x 3 + 15 3 x 16. 7 x 2 x 9 112 x 441 x 9 In Exercises 17 - 34 , add or subtract the rational expressions, as indicated, and simplify your answer. State all restric- tions. 17. 3 x x 2 6 x + 5 + 15 x 2 14 x + 45 18. 7 x x 2 4 x + 28 x 2 12 x + 32 19. 9 x x 2 + 4 x 12 54 x 2 + 20 x + 84 20. 9 x x 2 25 45 x 2 + 20 x + 75 21. 5 x x 2 21 x + 98 35 7 x x 2 22. 7 x 7 x x 2 + 147 x 2 + 7 x 98 23. 7 x x 2 8 x + 15 35 x 2 12 x + 35 24. 6 x x 2 + 2 x + 12 x 2 + 6 x + 8 25. 9 x x 2 12 x + 32 36 x 2 4 x 26. 5 x x 2 12 x + 32 20 4 x x 2
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692 Chapter 7 Rational Functions Version: Fall 2007 27. 6 x x 2 21 x + 98 42 7 x x 2 28. 2 x x 2 3 x 10 + 4 x 2 + 11 x + 18 29. 9 x x 2 6 x + 8 18 x 2 2 x 30. 6 x 5 x x 2 + 90 x 2 + 5 x 50 31. 8 x 5 x x 2 + 120 x 2 + 5 x 50 32. 5 x x 2 + 5 x + 25 x 2 + 15 x + 50 33. 5 x x 2 + x 30 + 30 x 2 + 23 x + 102 34. 9 x x 2 + 12 x + 32 36 x 2 + 4 x 35. Let f ( x ) = 8 x x 2 + 6 x + 8 and g ( x ) = 16 x 2 + 2 x Compute f ( x ) g ( x ) and simplify your answer.
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