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. 

(i) F = \{(a, 3), (b, 2), (c, 1)\}

Answers (1)

F:S\rightarrow T

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

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

\therefore \, \, F^{-1}:T\rightarrow S   is given by 

 F^{-1} = \{(3, a), (2, b), (1, c)\}

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