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Let S = {1, 2, 3}. Determine whether the...

Let `S = {1, 2, 3}`. Determine whether the functions `f : S->S`defined as below have inverses. Find `f^(-1)`, if it exists.(a) `f = {(1, 1), (2, 2), (3, 3)}`(b) `f = {(1, 2), (2, 1), (3, 1)}`(c) `f =

Text Solution

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The correct Answer is:
(i) Invertible; `f^(-1)={(1,1),(2,2),(3,3)}=f` (ii) Not invertible (iii) Invertible; `f^(-1)={(3,1),(2,3),(1,2)}`.
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Knowledge Check

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