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JEE Math Practice Question

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

  1. A.f and g both are one-one
  2. B.f and g both are onto
  3. C.f is one-one and g is onto
  4. D.f is onto and g is one-one

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