Let A = {1, 2, 3, 4} and f : A → A be given by f = {(1, 4), (2, 3), (3, 2), (4, 1)}.

Question:

Let $A=\{1,2,3,4\}$ and $f: A \rightarrow A$ be given by $f=\{(1,4),(2,3),(3,2),(4,1)\}$. Then $f^{-1}=$

Solution:

Given: A function $f: A \rightarrow A$ be given by $f=\{(1,4),(2,3),(3,2),(4,1)\}$

$f=\{(1,4),(2,3),(3,2),(4,1)\}$

$\Rightarrow f^{-1}=\{(4,1),(3,2),(2,3),(1,4)\}$

Thus, $f^{-1}=\{(4,1),(3,2),(2,3),(1,4)\}$

Hence, $f^{-1}=\{(4,1),(3,2),(2,3),(1,4)\}$.

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