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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. F = {(a, 2), (b, 1), (c, 1)}

Q. 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.

(ii)   F = \{(a, 2), (b, 1), (c, 1)\}

Answers (1)
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F:S\rightarrow T

F : \{a, b, c\}\rightarrow \left \{ 1,2,3 \right \} is defined as  F = \{(a, 2), (b, 1), (c, 1)\}

F(a)=2,F(b)=1,F(c)=1   , F is not one-one.

So inverse of F does not exists.

Hence, F is not invertible i.e. F^{-1} does not exists.

 

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