# 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) $F = \{(a, 3), (b, 2), (c, 1)\}$

$F:S\rightarrow T$

$F : \{a, b, c\}\rightarrow \left \{ 1,2,3 \right \}$ 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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