Are f and g both necessarily onto, if `gof` is onto?...

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Are f and g both necessarily onto, if gof is onto? Are f and g both necessarily onto, if gof is onto?
Consider function f and g such that gof is defined and is one one are f and g both necessarily one Consider function f and g such that gof is defined and is one one are f and g both necessarily 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)
Let f: A to B and g: B to C be two functions. Then, if gof is onto then g is onto, if gof is one... Let f: A to B and g: B to C be two functions. Then, if gof is onto then g is onto, if gof is one...
If gof is one one and f is onto then g is one one| if gof is Injective then f is Injective|| NumberX If gof is one one and f is onto then g is one one| if gof is Injective then f is Injective|| NumberX
If gof is onto and g is one one then f is onto | If gof is surjective and g is bisective || NumberX If gof is onto and g is one one then f is onto | If gof is surjective and g is bisective || NumberX
If gof is onto then g is onto | If gof is surjective then g is surjective || NumberX If gof is onto then g is onto | If gof is surjective then g is surjective || NumberX
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)