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Let f : Z → Z, g : Z → Z be functions defined by f = {(n,n2) : n ∈ Z}
G = {(n, |n|2) : n ∈ Z}. Show that f = g.

Solution: Clearly, domain of f = Domain of g = Z

And, Co-domain of f = Co-domain of g = Z

We have, f(n) = n2 and g(n) = |n|2 = n2 [since, |n|2 = n2]

Therefore, f(n) = g(n) for all n ∈ Z.

Hence, f = g.

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