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Joint Entrance Examination
Mathematics
Functions
Question 116
Question 116 of 162
Medium
MCQ
Consider function f : A \[\to\] B and g : B \[\to\] C (A, B, C \[ \subseteq \] R) such that (gof)-1 exists, then :
A
f and g both are one-one
B
f and g both are onto
C
f is one-one and g is onto
D
f is onto and g is one-one
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Official solution
\[\therefore\] (gof)-1 exist \[\Rightarrow\] gof is bijective \[\Rightarrow\] 'f' must be one-one and 'g' must be ONTO.
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