Let S = {a, b, c} and T = {1, 2, 3}. Find F^{ | vedclass

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(A) Given sets are $S = \{a, b, c\}$ and $T = \{1, 2, 3\}$.The function $F : S \rightarrow T$ is defined as $F = \{(a, 3), (b, 2), (c, 1)\}$.This impl

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$F^{-1} = \{(3, a), (2, b), (1, c)\}$

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(A) Given sets are $S = \{a, b, c\}$ and $T = \{1, 2, 3\}$.The function $F : S \rightarrow T$ is defined as $F = \{(a, 3), (b, 2), (c, 1)\}$.This implies $F(a) = 3$,$F(b) = 2$,and $F(c) = 1$.Since $F$ is a one-to-one and onto (bijective) function,its inverse $F^{-1} : T \rightarrow S$ exists.The inverse function is obtained by reversing the ordered pairs of $F$.Therefore,$F^{-1} = \{(3, a), (2, b), (1, c)\}$.

Let $S = \{a, b, c\}$ and $T = \{1, 2, 3\}$. Find $F^{-1}$ of the following function $F$ from $S$ to $T$,if it exists: $F = \{(a, 3), (b, 2), (c, 1)\}$.

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