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State with reason wheher following functins have inverse (i) f : {1,2,3,4} to {10} with f = {(1,10), (2,10), (3,10) ,(4,10)} (ii) g: {5,6,7,8} to {1,2,3,4} with g = {(5,4) , (6,3), (7,4), (8,2)} (iii) h : {2,3,4,5} to {7,9,11,13} with h = {(2,7), (3,9) , (4, 11), (5,13)}

Answer»


ANSWER :(i) No, since f is many-one
(II) No, since G is many-one.
(iii) Yes , since h is one-one ONTO.


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