If gof is one one then f is one one | If gof is bisective then f is bisective | NumberX

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If gof is one one and f is onto then g is one one| if gof is Injective then f is Injective|| NumberXIf gof is one one and f is onto then g is one one| if gof is Injective then f is Injective|| NumberX
Proof that if g o f is Injective(one-to-one) then f is Injective(one-to-one)Proof that if g o f is Injective(one-to-one) then f is Injective(one-to-one)
Proof that if g o f is Surjective(Onto) then g is Surjective(Onto)Proof that if g o f is Surjective(Onto) then g is Surjective(Onto)
Show that if f : A → B and g : B → C are one-one, then gof : A → C is also one-one.Show that if f : A → B and g : B → C are one-one, then gof : A → C is also one-one.
If gof is onto then g is onto | If gof is surjective then g is surjective || NumberXIf gof is onto then g is onto | If gof is surjective then g is surjective || NumberX
gof be surjective and g be injective, then f is surjective | DR Colleger |gof be surjective and g be injective, then f is surjective | DR Colleger |
If f and g are two bijections; then gof is a bijection and `(gof)^-1 = f^-1 o g^-1`If f and g are two bijections; then gof is a bijection and `(gof)^-1 = f^-1 o g^-1`