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1.Relation and Function
easy
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. $F =\{( a , 3),\,( b , 2),\,( c , 1)\}$
Option A
Option B
Option C
Option D
Solution
$S =\{ a , b , c \}, \,\,T =\{1,2,3\}$
$F : S \rightarrow T$ is defined as $F =\{( a , 3),\,( b , 2),\,( c , 1)\}$
$\Rightarrow $ $F ( a )=3, \,F ( b )=2,\, F ( c )=1$
Therefore, $F^{ -1}: T \rightarrow $ $S$ is given by $ F ^{-1}=\{(3, a ),\,(2, b ),\,(1, c )\}$
Standard 12
Mathematics
