State with reason whether following functions have inverse (i) `f:{1,2,3,4} ->{10} w i t h f={(1, 10),(2, 10),(3, 10),(4, 10)}`(ii) `g:{5, 6, 7, 8}->{1,2,3,4} w i t h g={(5, 4),(6, 3),(7, 4),(8, 2)}`(iii) `h :{2,3,4,5} ->{7,9

Explanation

(i) function is inverse if it follow one-one and on-to.

`f={(1,10),(2,10),(3,10),(4,10)}`

Here

`F(1)= F(2)= F(3)= F(4)=10`

` therefore`f is not one-one.

and f is not a bijection

`therefore` f does not have an inverse

(ii)`g={(5,4),(6,3),(7,4),(8,2)}`

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