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Let f : Z rarr Z be a function defined ...

Let f : Z `rarr Z ` be a function defined by f(n) =3n `AA n in Z` and g: Z `rarrZ` be defined by
g(n) = `{{:((n)/(3),"if n is a multiple of 3"),(""0, "if n is not a multiple of 3"):}`
Show that gof = `I_(z)` and fog `ne I_(z)` .

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