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Mathematics
Which one of the following is a bijective function on the set of real numbers?
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Q. Which one of the following is a bijective function on the set of real numbers?
KEAM
KEAM 2002
A
$ 2x-5 $
B
$ |x| $
C
$ {{x}^{2}} $
D
$ {{x}^{2}}+1 $
E
$ {{x}^{4}}-{{x}^{2}}+1 $
Solution:
$ \because $ In the given options only $ 2x-5 $ is one-one and onto, therefore it is bijective.