if gof is one one function then are f and g necessarily to be one one function?
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f:{1,2,3,4}={1,2,3,4,5,6} defined as f(x)=x∀x
g:{1,2,3,4,5,6}→{1,2,3,4,5,6} as g(x)=x
and g(5)=g(6),gof(x)=x which shows gof is one-one g is not one-one.
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