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: 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 3 , f ( x ) = 8 x In Exercises 29 - 36 , first copy the given graph of the one-to-one function f ( x ) onto your graph paper. Then on the same co- ordinate system, sketch the graph of the inverse function f 1 ( x ) . 29. x y 5 5 30. x y 5 5 31. x y 5 5 32. x y 5 5 33. x y 5 5 34. x y 5 5 35. x y 5 5
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818 Chapter 8 Exponential and Logarithmic Functions Version: Fall 2007 36. x y 5 5 In Exercises 37 - 68 , find the formula for the inverse function f 1 ( x ) . 37. f ( x ) = 5 x 3 5 38. f ( x ) = 4 x 7 3 39. f ( x ) = 9 x 3 7 x + 6 40. f ( x ) = 6 x 4 41. f ( x ) = 7 x 9 42. f ( x ) = 7 x + 4 43. f ( x ) = 3 x 5 9 44. f ( x ) = 6 x + 7 45. f ( x ) = 4 x + 2 4 x + 3 46. f ( x ) = 5 x 7 + 4 47. f ( x ) = 4 x 1 2 x + 2 48. f ( x ) = 7 8 x 3 49. f ( x ) = 3 6 x 4 50. f ( x ) = 8 x 7 3 x 6 51. f ( x ) = 7 3 x
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  • Inverse function, Injective function, 1 g, 2  g, -2x2

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