Q. 5 State with reason whether following functions have inverse

(ii)  g : \{5, 6, 7, 8\} \rightarrow \{1, 2, 3, 4\} with
     g = \{(5, 4), (6, 3), (7, 4), (8, 2)\}

 

Answers (1)

(ii)  g : \{5, 6, 7, 8\} \rightarrow \{1, 2, 3, 4\} with
     g = \{(5, 4), (6, 3), (7, 4), (8, 2)\}

From the definition, we can conclude :

g(5)=g(7)=4

\therefore g is not one-one.

Hence, function g does not have inverse function.

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