Chap7 Section6

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

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Section 7.6 Complex Fractions 703 Version: Fall 2007 7.6 Exercises In Exercises 1 - 6 , evaluate the function at the given rational number. Then use the first or second technique for simpli- fying complex fractions explained in the narrative to simplify your answer. 1. Given f ( x ) = x + 1 2 x , evaluate and simplify f (1 / 2) . 2. Given f ( x ) = 2 x x + 5 , evaluate and simplify f (3 / 2) . 3. Given f ( x ) = 2 x + 3 4 x , evaluate and simplify f (1 / 3) . 4. Given f ( x ) = 3 2 x x + 5 , evaluate and simplify f (2 / 5) . 5. Given f ( x ) = 5 2 x x + 4 , evaluate and simplify f (3 / 5) . 6. Given f ( x ) = 2 x 9 11 x , evaluate and simplify f (4 / 3) . Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 In Exercises 7 - 46 , simplify the given complex rational expression. State all re- strictions. 7. 5 + 6 x 25 x 36 x 3 8. 7 + 9 x 49 x 81 x 3 9. 7 x 2 5 x 7 8 x 7 + 3 x + 8 10. 9 x + 4 7 x 9 9 x 9 + 5 x 4 11. 3 + 7 x 9 x 2 49 x 4
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704 Chapter 7 Rational Functions Version: Fall 2007 12. 2 5 x 4 x 2 25 x 4 13. 9 x + 4 + 7 x + 9 9 x + 9 + 2 x 8 14. 4 x 6 + 9 x 9 9 x 6 + 8 x 9 15. 5 x 7 4 x 4 10 x 4 5 x + 2 16.
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