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Let f be the subset of Z xxZdefined by f...

Let f be the subset of `Z xxZ`defined by `f = {(a b , a + b) : a , b in Z}`. Is f a function from Z to Z? Justify your answer.

Text Solution

Verified by Experts

The correct Answer is:
N/a
We known that
`{:(4xx6=24,and,8xx3=24),(therefore(4xx6","4+6)inf,and,(8xx3","8+3)inf),(implies(24","10)in f,and,(24","11)inf):}`
Their first components are same, so f is not a function.
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