445 4.1 Inverse Functions Use the definition of inverses to determine whether ƒ and g are inverses. See Example 3. 37. ƒ1x2 = 2x + 4, g1x2 = 1 2 x - 2 38. ƒ1x2 = 3x + 9, g1x2 = 1 3 x - 3 39. ƒ1x2 = -3x + 12, g1x2 = - 1 3 x - 12 40. ƒ1x2 = -4x + 2, g1x2 = - 1 4 x - 2 41. ƒ1x2 = x + 1 x - 2 , g1x2 = 2x + 1 x - 1 42. ƒ1x2 = x - 3 x + 4 , g1x2 = 4x + 3 1 - x 43. ƒ1x2 = 2 x + 6 , g1x2 = 6x + 2 x 44. ƒ1x2 = -1 x + 1 , g1x2 = 1 - x x 45. ƒ1x2 = x2 + 3, x Ú 0; g1x2 = 2x - 3, x Ú 3 46. ƒ1x2 = 2x + 8, x Ú -8; g1x2 = x2 - 8, x Ú 0 49. ƒ = 512, 52, 13, 52, 14, 526; g = 515, 226 50. ƒ = 511, 12, 13, 32, 15, 526; g = 511, 12, 13, 32, 15, 526 48. x ƒ1x2 -2 -8 -1 -1 0 0 1 1 2 8 x g1x2 8 -2 1 -1 0 0 -1 1 -8 2 x ƒ1x2 3 -4 2 -6 5 8 1 9 4 3 x g1x2 -4 3 -6 2 8 5 9 1 3 4 47. Determine whether the given functions are inverses. See Example 4. Find the inverse of each function that is one-to-one. See Example 4. 51. 51-3, 62, 12, 12, 15, 826 52. e13, -12, 15, 02, 10, 52, a4, 2 3b f 53. 511, -32, 12, -72, 14, -32, 15, -526 54. 516, -82, 13, -42, 10, -82, 15, -426 Determine whether each pair of functions graphed are inverses. See Example 7. 55. x y 0 3 3 4 4 y = x 56. x y 0 4 4 y = x 57. x y 0 2 22 y = x 58. x y 0 2 22 y = x
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