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Consider functions \(f: A \rightarrow B\) and \(g: B \rightarrow C(A, B, C \subseteq R)\) such that \((g \circ f)^{-1}\)…

Q1

Consider functions \(f: A \rightarrow B\) and \(g: B \rightarrow C(A, B, C \subseteq R)\) such that \((g \circ f)^{-1}\) exists, then :

[JEE Main 2021, 25 Jul (Shift 2)]

a

\(f\) and \(g\) both are onto

b

\(f\) is onto and \(g\) is one-one

c

\(f\) is one-one and \(g\) is onto

d

\(f\) and \(g\) both are one-one

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