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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Functions
Inverse Functions
Warm-Ups
1
The inverse of {(1, 3), (2, 5)} is {(3, 1), (2, 5)}.
A)
TRUE
B)
FALSE
2
The function f (x) = 3 is a one-to-one function.
A)
TRUE
B)
FALSE
3
If g(x) = 2x, then g
-1
(x) = 1/(2x).
A)
TRUE
B)
FALSE
4
Only one-to-one functions are invertible.
A)
TRUE
B)
FALSE
5
The domain of g is the same as the range of g
-1
.
A)
TRUE
B)
FALSE
6
The function f (x) = x
4
is invertible.
A)
TRUE
B)
FALSE
7
If f (x) = -x, then f
-1
(x) = -x.
A)
TRUE
B)
FALSE
8
If h is invertible and h(7) = -95, then h
-1
(-95) = 7.
A)
TRUE
B)
FALSE
9
If k(x) = 3x - 6, then k
-1
(x) = 1/3x + 2.
A)
TRUE
B)
FALSE
10
If f (x) = 3x - 4, then f
-1
(x) = x + 4.
A)
TRUE
B)
FALSE
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