If A= a, b, c, d and the function f= (a, b),(b, d),(c, a),(d, c) … - Vidyadip

Question

If $\mathrm{A}=\{a, b, c, d\}$ and the function $f=\{(a, b),(b, d),(c, a),(d, c)\}$, write $f^{-1}$.

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Answer

We are given that, $\mathrm{f}=\{(\mathrm{a}, \mathrm{b}),(\mathrm{b}, \mathrm{d}),(\mathrm{c}, \mathrm{a}),(\mathrm{d}, \mathrm{c})\}$
An inverse relation is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original relation.
$\therefore f^{-1}=\{(b, a),(d, b),(a, c),(c, d)\}$

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