Chap8 Section4

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

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Section 8.4 Inverse Functions 815 Version: Fall 2007 8.4 Exercises In Exercises 1 - 12 , use the graph to de- termine whether the function is one-to- one. 1. x y 5 5 2. x y 5 5 3. x y 5 5 Copyrighted material. See: http://msenux.redwoods.edu/IntAlgText/ 1 4. x y 5 5 5. x y 5 5 6. x y 5 5 7. x y 5 5
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816 Chapter 8 Exponential and Logarithmic Functions Version: Fall 2007 8. x y 5 5 9. x y 5 5 10. x y 5 5 11. x y 5 5 12. x y 5 5 In Exercises 13 - 28 , evaluate the com- position g ( f ( x )) and simplify your an- swer. 13. g ( x ) = 9 x , f ( x ) = 2 x 2 + 5 x 2 14. f ( x ) = 5 x , g ( x ) = 4 x 2 + x 1 15. g ( x ) = 2 x , f ( x ) = x 3 16. f ( x ) = 3 x 2 3 x 5 , g ( x ) = 6 x 17. g ( x ) = 3 x , f ( x ) = 4 x + 1 18. f ( x ) = 3 x 5 , g ( x ) = x 2 19. g ( x ) = 5 x 2 + 3 x 4 , f ( x ) = 5 x 20. g ( x ) = 3 x + 3 , f ( x ) = 4 x 2 2 x 2 21. g ( x ) = 6 x , f ( x ) = 4 x + 4 22. g ( x ) = 5 x 3 , f ( x ) = 2 x 4 23. g ( x ) = 3 x , f ( x ) = 2 x + 1 24. g ( x ) = 3 x , f ( x ) = 5 x 2 5 x 4 25. f ( x ) = 5 x , g ( x ) = x + 1 26. f ( x ) = 4 x 2 + 3 x 4 , g ( x ) = 2 x
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Section 8.4 Inverse Functions 817 Version: Fall 2007 27. g ( x ) = 5 x + 1 , f ( x ) = 3 x 2 28. g ( x ) = 3 x 2 + 4 x
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