Let A be a non-empty set and f.g:A-A be any functions such that fog is the identity map of A. Then g is the identity map but f is not necessarily the identity map O f and g are the identity maps O None of these g is one-to-one g is not necessary one-to-one Which among the following staterments is true?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let A be a non-empty set and f.g:A-→A be any functions such that fog is the identity map of A Then
O gis the identity map but f is not necessarily the identity map
f and g are the identity maps
None of these
g is one-to-one
g is not necessary one-to-one
Which among the following statements is true?
Transcribed Image Text:Let A be a non-empty set and f.g:A-→A be any functions such that fog is the identity map of A Then O gis the identity map but f is not necessarily the identity map f and g are the identity maps None of these g is one-to-one g is not necessary one-to-one Which among the following statements is true?
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