Let `f:ZtoZ:f(x)=x^(2)andg:ZtoZ:g(x)=|x|^(2)" for all "x""inZ`. Show t – InterviewSolution

1.	Let `f:ZtoZ:f(x)=x^(2)andg:ZtoZ:g(x)=\|x\|^(2)" for all "x""inZ`. Show that f=g.
Answer» We have dom (f)= dom (g) =Z and co-domain of f=co-domain of g =Z. Also, for all `x""inZ`, we have `f(x)=x^(2)andg(x)=\|x\|^(2)=x^(2)` `:.f(x)=g(x)" for all "x""inZ.` Hence, f=g.

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