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Question

The inverse of the function {(1,2),(2,3),(3,1)} defined from set A = {1,2,3} to itself is

A
{(2,2),(3,3),(1,1)}
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B
{(1,2),(2,3),(3,1)}
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C
{(2,1),(3,2),(1,3)}
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Solution

The correct option is C {(2,1),(3,2),(1,3)}

Inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function. So, instead of (1,2), we will have (2,1),

(2,3) will get replaced by (3,2) and (3,1) will be replaced by (1,3). We get the {(2,1), (3,2), (1,3)} as the inverse function.


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