Let (X, T) and (Y, T₁) be two topological spaces and let f be a continuous mapping of X into Y. O None of the choices. O If f is onto and (Y,T_1) is a Hausdorff space then (X,T) is Hausdorff. If f is one-to-one and (Y,T_1 ) is a Hausdorff space then (X,T) is Hausdorff. If (Y,T_1) is a T_1 space then (X,T) is a T_1 space.

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