Functions-17

From Homeworkwiki

Jump to: navigation, search

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.

Personal tools
McAfee SECURE sites help keep you safe from identity theft, credit card fraud, spyware, spam, viruses and online scams