Consider functions f and g such that composite gof is defined and is one-one. Are f and g both necessarily one-one.

Consider functions f and g such that composite gof is defined and is oneone. Are f and g both necessarily one-one.

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

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

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

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

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

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

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

Give an example to show that the function gof is defined and one-one though the functions both f and g are not necessarily one-one.