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State with reason wheher following funct...

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)}`

Text Solution

Verified by Experts

The correct Answer is:
(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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