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if f(y) is one to one, and f(g(x)) is one to one, is g(x) one to one?
if g(x) is one to one, and f(g(x)) is one to one, is f(y) one to one?
if g(x) and f(g(x)) are onto, is f(y) is also onto?
if f(y) and f(g(x)) are onto, is g(x) is also onto?
if g(x) is one to one, and f(g(x)) is one to one, is f(y) one to one?
if g(x) and f(g(x)) are onto, is f(y) is also onto?
if f(y) and f(g(x)) are onto, is g(x) is also onto?