Consider function f : A → B and g : B → C A , B , C ⊆ R such that g o f - 1 exists, then:

Question

Consider function f : A → B and g : B → C A , B , C ⊆ R such that g o f - 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

MARKS App · Accepted Answer

∴ g o f - 1 exist ⇒ g o f = g f x is bijective ⇒ f must be one-one and g must be onto.

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