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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. $F =\{( a , 2)\,,(b , 1),\,( c , 1)\}$
Option A
Option B
Option C
Option D
Solution
$S =\{ a , b , c \}, \,\,T =\{1,2,3\}$
$F : S \rightarrow T$ is defined as $F =\{( a , 2),\,( b , 1),\,( c , 1)\}$
since $F ( b )= F ( c )=1$, $F$ is not one – one.
Hence, $F$ is not invertible i.e., $F ^{-1}$ does not exist.
Standard 12
Mathematics
