Q

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)   $F = \{(a, 2), (b, 1), (c, 1)\}$

Views

$F:S\rightarrow T$

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