1 7 2 6 х 4 x 12 6 g(x) 3 f(x) 9 3 1 Find each of the following. 67. (gof)(3) 66. (fog)(7) 65. (fog)(2) 70. (g g)(1) 69. (fo f)(4) O 68. (g f)(6) 71. Concept Check Why can we not determine (fog)(1) given the information in the tables for Exercises 65-70? 72. Concept Check Extend the concept of composition of functions to evaluate (g (fog))(7) using the tables for Exercises 65-70. Given functions fand g, find (a) (f g)(x) and its domain, and (b) (go f) (x) and its domain. See Examples 6 and 7. 74. f(x) 8x+12, g(x) 3x - 1 Зх — - 6x + 9, g(x) = 5x + 7 73. f(x) = 76. f(x) Vx, g(x) x - 1 75. f(x) Vx, g(x) x + 3eg d 78. f(x) x + 2, g(x) x4+x2 - 4 77. f(x) x3, g(x) = x2 + 3x - 1 = 80. f(x) Vx- 2, g(x) 2x 79. f(x) = Vx- 1, g(x) = 3x 03. 07. 4 82. f(x) 2 g(x) = x +1 g(x) x + 4O quiz 81. f(x) = 1 1 XX 84. f(x) Vx +4, g(x) 83. f(x) Vx +2, g(x) 1 1 X X thw ofgns 1 3 86. f(x)= Vx, g(x) - 85. f(x) Vx, g(x) = 11 x+ 5 1 8(x) 1 1 88. f(x) = 87. f(x) g(x) 11 x +4' 89. Concept Check Fill in the missing entries in the table. x-2' х f(x) g(x) g(f(x)) x 3 2 7 2 1 3 2 2/ 17 M3

Question

80.

1
7
2
6
х
4
x
12
6
g(x)
3
f(x)
9
3
1
Find each of the following.
67. (gof)(3)
66. (fog)(7)
65. (fog)(2)
70. (g g)(1)
69. (fo f)(4)
O
68. (g f)(6)
71. Concept Check Why can we not determine (fog)(1) given the information in the
tables for Exercises 65-70?
72. Concept Check Extend the concept of composition of functions to evaluate
(g (fog))(7) using the tables for Exercises 65-70.
Given functions fand g, find (a) (f g)(x) and its domain, and (b) (go f) (x) and its
domain. See Examples 6 and 7.
74. f(x) 8x+12, g(x) 3x - 1
Зх —
- 6x + 9, g(x) = 5x + 7
73. f(x) =
76. f(x) Vx, g(x) x - 1
75. f(x) Vx, g(x) x + 3eg d
78. f(x) x + 2, g(x) x4+x2 - 4
77. f(x) x3, g(x) = x2 + 3x - 1
=
80. f(x) Vx- 2, g(x) 2x
79. f(x) = Vx- 1, g(x) = 3x
03.
07.
4
82. f(x)
2
g(x) = x +1
g(x) x + 4O quiz
81. f(x) =
1
1
XX
84. f(x) Vx +4, g(x)
83. f(x) Vx +2, g(x)
1
1
X
X
thw ofgns
1
3
86. f(x)= Vx, g(x) -
85. f(x) Vx, g(x)
=
11
x+ 5
1
8(x)
1
1
88. f(x) =
87. f(x)
g(x)
11
x +4'
89. Concept Check Fill in the missing entries in the table.
x-2'
х
f(x) g(x)
g(f(x))
x
3
2
7
2
1
3
2
2/
17
M3
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Transcribed Image Text

1 7 2 6 х 4 x 12 6 g(x) 3 f(x) 9 3 1 Find each of the following. 67. (gof)(3) 66. (fog)(7) 65. (fog)(2) 70. (g g)(1) 69. (fo f)(4) O 68. (g f)(6) 71. Concept Check Why can we not determine (fog)(1) given the information in the tables for Exercises 65-70? 72. Concept Check Extend the concept of composition of functions to evaluate (g (fog))(7) using the tables for Exercises 65-70. Given functions fand g, find (a) (f g)(x) and its domain, and (b) (go f) (x) and its domain. See Examples 6 and 7. 74. f(x) 8x+12, g(x) 3x - 1 Зх — - 6x + 9, g(x) = 5x + 7 73. f(x) = 76. f(x) Vx, g(x) x - 1 75. f(x) Vx, g(x) x + 3eg d 78. f(x) x + 2, g(x) x4+x2 - 4 77. f(x) x3, g(x) = x2 + 3x - 1 = 80. f(x) Vx- 2, g(x) 2x 79. f(x) = Vx- 1, g(x) = 3x 03. 07. 4 82. f(x) 2 g(x) = x +1 g(x) x + 4O quiz 81. f(x) = 1 1 XX 84. f(x) Vx +4, g(x) 83. f(x) Vx +2, g(x) 1 1 X X thw ofgns 1 3 86. f(x)= Vx, g(x) - 85. f(x) Vx, g(x) = 11 x+ 5 1 8(x) 1 1 88. f(x) = 87. f(x) g(x) 11 x +4' 89. Concept Check Fill in the missing entries in the table. x-2' х f(x) g(x) g(f(x)) x 3 2 7 2 1 3 2 2/ 17 M3