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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,

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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 3x2

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