Let `A={a,b,c,d}` and `f :A->A` be given by `f={(a,b),(b,d),(c,a),(d,c)}` , write `f^(-1)`

Explanation

To find the inverse of the function \( f: A \to A \) given by the set of ordered pairs \( f = \{(a,b), (b,d), (c,a), (d,c)\} \), we will follow these steps:

### Step 1: Understand the Definition of Inverse Function
The inverse function \( f^{-1} \) is defined such that if \( f(x) = y \), then \( f^{-1}(y) = x \). This means we will swap the elements in each ordered pair of the function.

### Step 2: Write Down the Given Function
The function \( f \) is given as:
\[
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