Which of the following functions ar

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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Which of the following functions are not one-to-one? [At least one of the functions will not be
one-to-one.]
U f (x) = x|
x2+1
ХER
O f (x) = x³ – x
-
O f (x) =
(Зх-1)
хER, х #0
(x+1)
O f (x) = D, x € R, x + 0
Transcribed Image Text:Which of the following functions are not one-to-one? [At least one of the functions will not be one-to-one.] U f (x) = x| x2+1 ХER O f (x) = x³ – x - O f (x) = (Зх-1) хER, х #0 (x+1) O f (x) = D, x € R, x + 0
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