+ Determine whether each function is invertible. If so, then find the inverse. 71. f(x) = 3x² +6 72. f(x) = -3√x-7 Determine whether the functions are invorco fumatin

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the problem number 71 and show your work
Determine whether the function is invertible. If so, find the inverse.
64. f(x) = x² +8, x ≥ 0
66. f(x) = 3√x + 5
63. f(x) = -x + 10
65. f(x) = -x3-9
Determine whether the function is invertible or non-invertible.
68.
67.
WATCH
Learning Target: Understand the relationship between inverse functions.
69.
70.
X
f(x)
X
f(x)
-6
-3
0
72 27 0
-2
-8
4 x
3
-9
6
0
-1
0
1 2
-5 -2 1 4
-4 -2
6
4
Determine whether each function is invertible. If so, then find the inverse.
71. f(x) = 3x2 + 6
72. f(x) = -3√x - 7
2
Determine whether the functions are inverse functions.
73. f(x) = 4(x - 11)², g(x) = (x + 11)² 74. f(x) = -2x + 6, g(x) = -x + 3
75. On a certain day, the function that gives U.S. dollars in terms of British pounds
is d(p) = 0.777p, where p represents British pounds. Find and interpret d-¹(100).
Mathematical Thinking and Reasoning
2 DEMONSTRATE UNDERSTANDING BY REPRESENTING
MTR
PROBLEMS IN MULTIPLE WAYS
Mathematicians who demonstrate understanding by representing problems in
multiple ways represent solutions to problems in multiple ways using objects,
drawings, tables, graphs, and equations.
1. Explain how the method you used to solve Exercise 45 on page 246 demonstrates
the relationship among the given information, and then represent your solution in a
different way. Which method do you prefer? Explain your reasoning.
2. In Example 6 on page 259, the relationship between time (in seconds) and the
distance (in feet) that an object falls on the Moon is represented by a function.
Represent this relationship in two other ways.
AZ
Vocabulary VOCAB
inverse function
Transcribed Image Text:Determine whether the function is invertible. If so, find the inverse. 64. f(x) = x² +8, x ≥ 0 66. f(x) = 3√x + 5 63. f(x) = -x + 10 65. f(x) = -x3-9 Determine whether the function is invertible or non-invertible. 68. 67. WATCH Learning Target: Understand the relationship between inverse functions. 69. 70. X f(x) X f(x) -6 -3 0 72 27 0 -2 -8 4 x 3 -9 6 0 -1 0 1 2 -5 -2 1 4 -4 -2 6 4 Determine whether each function is invertible. If so, then find the inverse. 71. f(x) = 3x2 + 6 72. f(x) = -3√x - 7 2 Determine whether the functions are inverse functions. 73. f(x) = 4(x - 11)², g(x) = (x + 11)² 74. f(x) = -2x + 6, g(x) = -x + 3 75. On a certain day, the function that gives U.S. dollars in terms of British pounds is d(p) = 0.777p, where p represents British pounds. Find and interpret d-¹(100). Mathematical Thinking and Reasoning 2 DEMONSTRATE UNDERSTANDING BY REPRESENTING MTR PROBLEMS IN MULTIPLE WAYS Mathematicians who demonstrate understanding by representing problems in multiple ways represent solutions to problems in multiple ways using objects, drawings, tables, graphs, and equations. 1. Explain how the method you used to solve Exercise 45 on page 246 demonstrates the relationship among the given information, and then represent your solution in a different way. Which method do you prefer? Explain your reasoning. 2. In Example 6 on page 259, the relationship between time (in seconds) and the distance (in feet) that an object falls on the Moon is represented by a function. Represent this relationship in two other ways. AZ Vocabulary VOCAB inverse function
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