College Algebra 9th txtbk

Student Answer Appendix
SA-15
53. f 1 (x) 16 4x 2 , x 0 55. f 1 (x) (3 x) 2 1, x 3
57. f 1 (x) 1x 5
domain of f (, 16] domain of f [1, ) domain of f [0, )
range of f [0, ) range of f (, 3] range of f [5, )
domain of f 1 [0, ) domain of f 1 (, 3] domain of f 1 [5, )
range of f 1 (, 16] range of f 1 [1, ) range of f 1 [0, )
y f(x)
20
y
y x
20 20
y f 1 (x)
x
5
y
y f 1 (x)
5 5
y x
y f(x)
x
10
y
y f(x)
y x
10 10
y f 1 (x)
x
20
5
10
59. f 1 (x) 14 x
61. f 1 (x) 1x 16 4
63. f 1 (x) 2 1x
domain of f (, 0] domain of f [4, ) domain of f (, 2]
range of f (, 4] range of f [16, ) range of f [0, )
domain of f 1 (, 4] domain of f 1 [16, ) domain of f 1 [0, )
range of f 1 (, 0] range of f 1 [4, ) range of f 1 (, 2]
10
y f(x)
y
y x
10 10
y f 1 (x)
x
y
y f(x)
20
y x
y f 1 (x)
x
20 20
y
10
y f(x)
y x
10 10
y f 1 (x)
x
10
20
10
65. f 1 (x) 1 1x 2
67. f 1 (x) 1x 3 1
69. f 1 2
(x) 29 x
domain of f [1, ) domain of f (, 1] domain of f [0, 3]
range of f [2, ) range of f [3, ) range of f [3, 0]
domain of f 1 [2, ) domain of f 1 [3, ) domain of f 1 [3, 0]
range of f 1 [1, ) range of f 1 (, 1] range of f 1 [0, 3]
10
y
y f(x)
y x
y f 1 (x)
y f(x)
10
y
y x
y f 1 (x)
5
y
y x
10 10
10
x
10 10
10
y f 1 (x)
x
5 5
x
y f(x)
5
71. f 1 (x) 29 x 2
73. f 1 (x) 22x x 2
domain of f [3, 0] domain of f [1, 0]
range of f [0, 3] range of f [0, 1]
domain of f 1 [0, 3] domain of f 1 [0, 1]
range of f 1 [3, 0] range of f 1 [1, 0]
y f(x)
5
5
y
y x
x
5 5
y f 1 (x)
y f(x)
75. f 1 (x) 2 77. f 1 (x) 2 x 79. f 1 (x)
x 81. f 1 (x) 4x 5
3 x
x
2 x
3x 2
83. f 1 (x) (4 x) 5 2
85. The x intercept of f is the y intercept of f 1 and the y intercept of f is the x intercept of f 1 .
89. One possible answer: domain x 2, f 1 (x) 2 1x 91. One possible answer: domain 0 x 2, f 1 (x) 2 24 x 2
95. (A) [200, 1,000] (B) d
1 (q) 15,000 5; domain: [200, 1,000]; range: [10, 70]
q
97. (A) r m(w) 1.25w 3; domain: [0, ); range: [3, ) (B) w m 1 (r) 0.8r 2.4; domain: [3, ); range: [0, )
99. s f 1 50
(L) 10 (L 20); domain: [20, ); range: [10, )
A 3
2
2
y
2 2
y x
y f 1 (x)
x