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School
University of Notre Dame *
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Course
2103
Subject
Mathematics
Date
Apr 29, 2024
Type
Pages
86
Uploaded by CorporalExploration13960 on coursehero.com
11/14/23, 11:57 PM
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wait=-1299444, due=1698123599, due2=0 Question number 1.
Your answer was B. Correct. Suppose and g
is the inverse of
f
. Find .
A
B
C
D
E
F
None of the above.
Question number 2.
Your answer was D. Correct. Find the inverse of the given function, if possible: , where .
A
does not have an inverse.
B
C
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D
E
F
None of the above.
Question number 3.
Your answer was B. Correct. Determine whether or not the given function is one-to-one and, if so, find the inverse. If has
an inverse, give the domain of .
A
Not one-to-one.
B
C
D
E
Question number 4.
Your answer was D. Correct.
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If f
and g
are inverse functions, , and , find .
A
Not enough information.
B
C
D
E
F
G
H
None of the above.
Question number 5.
Your answer was D. Correct. Which of the following is a one-to-one function?
A
B
C
D
E
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F
None of the above.
Question number 6.
Your answer was A. Correct. Which of the following is a monotonic function?
A
B
C
D
E
F
None of the above.
Question number 7.
Your answer was B. Correct. Which of the following is NOT an invertible function?
A
B
C
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D
E
F
None of the above.
Question number 8.
Your answer was A. Correct. Given the following function, with k
as a constant, find the values of for which is one-to-one.
A
B
C
D
E
F
Question number 9.
Your answer was E. Correct. Suppose that has an inverse, , , , , and
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. What is ?
A
B
C
D
E
F
G
Question number 10.
Your answer was C. Correct. Suppose that is differentiable and has an inverse. Find .
A
B
C
D
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