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

Question

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

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Answer

We are given that, $f = \{(a, b), (b, d), (c, a), (d, c)\}$
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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