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State with reason whether following functions have inversef : {1, 2, 3, 4} → {10} with f = {(1, 10), (2, 10), (3, 10), (4, 10)}

Q5.State with reason whether following functions have inverse 

(i) f : \{1, 2, 3, 4\} \rightarrow\{10\} with
   f = \{(1, 10), (2, 10), (3, 10), (4, 10)\}

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(i) f : \{1, 2, 3, 4\} \rightarrow\{10\} with
   f = \{(1, 10), (2, 10), (3, 10), (4, 10)\}

From the given definition,we have:

f\left ( 1 \right )=f\left ( 2 \right )=f\left ( 3 \right )=f(4)=10

\therefore f is not one-one.

Hence, f do not have inverse function.

 

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