Verified Solution • 2025–26 Session moderate

QJEEM21Ma5242: JEE Main 2021 Mathematics - Class 11 JEEM21Ma5242 Solution: Consider function f : A B and g : B C (A, B, C R) such that…

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

Multiple Choice Options

  • 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

Step-by-Step Verified Solution

∴\therefore (gof) −- 1 exist ⇒\Rightarrow gof is bijective

⇒\Rightarrow 'f' must be one-one and 'g' must be ONTO.

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