Consider function f : A $\to$ B and g : B $\to$ C (A, B, C $ \subseteq $ R) such that (gof)$-$1 exists, then :

Question

Consider function f : A $\to$ B and g : B $\to$ C (A, B, C $ \subseteq $ R) such that (gof)^$-$1 exists, then :

f and g both are one-one

f and g both are onto

f is one-one and g is onto

f is onto and g is one-one

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