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I need help solving these problems with the steps 26, 28, 30, 32, 34, 36, 40, 42, 44, 46, 52, 54, 56, 58, 60, 62,
I need help solving these problems with the steps 26, 28, 30, 32, 34, 36, 40, 42, 44, 46, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74,
27. f (x) = x2; 8(x) = x2+4 28. f (x) = x2 + 1; g(x)=2x2+3 29. f ( x ) = - x - 1; 8 (x ) =_ 30. f (x) = - 1 x + 3; 8 ( x ) = = = 31. f (x ) = - X x - 1' 8(x) = _4 X x 32. f(x) = x + 3' 8 (x ) = _ x 33. f (x) = Vx; g(x) =2x +5 34. f (x) = Vx - 2; g(x) = 1 - 2x 35. f ( x) = x2 + 7; 8(x) = Vx-7 36. f (x) = x2 + 4; 8(x) = Vx -2 37. f ( x ) = * - 5 x + 1' 8 (x ) = *+2 38. f (x) = 2x - 1 x - 3 x - 2 ; 8 (x ) = *+4 2x - 5 In Problems 39-46, show that (f . g) (x) = (go f) (x) = x. 39. f ( x) = 2x; 8(x) = 5x 40. f (x) = 4x; 8(x) = -x 41. f (x) = x; 8(x) = Vx 42. f ( x ) = x + 5; 8(x) = x-5 43. f(x) = 9x - 6; g(x) = - (x +6) 44. f(x) = 4 - 3x; 8(x) = = (4 -x) 45. f ( x) = ax + b; g(x) = =(x - b) a# 0 46. f ( x ) = =; 8(x) = _State the domain of each composite function. 23. f ( x) = 2x + 3; 8(x) = 4x 24. f(x) = -x; g(x) = 2x - 4 25. f (x) = 3x - 1; g(x) = x2 26. f(x) = x + 1; g(x) = x2+4In Problems 51-62, the function f is one-to-one. (a) Find its inverse function f- and check your answer. (b) Find the domain and the range of f and f-1. (c) Graph f, f-1, and y = x on the same coordinate axes. 51. f (x) = 3x 52. f (x) = -4x 53. f(x) = 4x + 2 54. f (x) = 1 - 3x 55. f (x) = x3 - 1 56. f(x) = x'+1 57. f (x ) = x2+4, x20 58. f (x ) = x2 + 9, x20 59. f (x ) = - 4 X 60. f (x) = - * IW 61. f(x) = 4 x - 2 62. f ( x ) = - x+2 In Problems 63-80, the function f is one-to-one. (a) Find its inverse function f and check your answer. (b) Find the domain and the range of f and fl. 63. f(x) = 2 4 3x 3+ x 64. f(x) = 2 - X 65. f(x) = x + 2 66. f (x) = _ 2x 2x x- 1 67. f(x) = 3x + 1 3x - 1 68. f(x) = - X 69. f (x) 3x + 4 70. f( x) = 2x - 3 71. f (x) 2x + 3 2x - 3 x + 4 x +2 72. f (x ) = -3x - 4 73. f(x ) = x2 - 4 74. f( x ) = *+ 3 x>0 x - 2 2x-2 x>0 3x2Step by Step Solution
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