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Let f : A B and g : B C be functions. A) If g f is one-to-one (injective), g must also be one-to-one (injective).

Let f : A B and g : B C be functions.

A) If g f is one-to-one (injective), g must also be one-to-one (injective).

B) If g f is onto (surjective), g must also be onto (subjective).

C) If f has a well-defined inverse(bijective), g f must also have a well-defined inverse(bijective).

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