Question

Consider function f: A B and g:B C such that (gof) ^-1 exists, then
A) f and g both are one one
B) f is onto sand g is one one
C) f is one one and onto
D) f and g both are onto​

Answer 1

Answer:

Answer is: (3) f is one-one and g is onto

∴ (gof)–1 exist ⇒ gof is bijective

⇒ ‘ƒ’ must be one-one and ‘g’ must be ONTO

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