Question:
Let $A=\{a, b, c, d\}$ and $f: A \rightarrow A$ be given by $f=\{(a, b),(b, d),(c, a),(d, c)\}$. Write $f^{-1}$. [NCERT EXEMPLAR]
Solution:
We have,
$A=\{a, b, c, d\}$ and $f: A \rightarrow A$ be given by $f=\{(a, b),(b, d),(c, a),(d, c)\}$
Since, the elements of a function when interchanged gives inverse function.
So, $f^{-1}=\{(b, a),(d, b),(a, c),(c, d)\}$
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