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					3/20/2011                                     NCERT CBSE Math Solutions for Class XI…




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   Relations and Functions (Math)
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   Question 11:


   Let S = {a, b, c} and T = {1, 2, 3}. Find F−1 of the following functions F from S to T, if it exists.

   (i) F = {(a, 3), (b, 2), (c, 1)} (ii) F = {(a, 2), (b, 1), (c, 1)}


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     S = {a, b, c}, T = {1, 2, 3}

     (i) F: S → T is defined as:

     F = {(a, 3), (b, 2), (c, 1)}

     ⇒ F (a) = 3, F (b) = 2, F(c) = 1

     Therefore, F−1: T → S is given by

     F−1 = {(3, a), (2, b), (1, c)}.

     (ii) F: S → T is defined as:

     F = {(a, 2), (b, 1), (c, 1)}

     Since F (b) = F (c) = 1, F is not one-one.

     Hence, F is not invertible i.e., F−1 does not exist.




…meritnation.com/…/BshJb65lxFmklwaR…                                                                                                 1/1

				
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