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Let f : Z rarr Z be defined as f(n) = 3...

Let f : ` Z rarr Z` be defined as f(n) = 3n for all `n in Z`. Let g : `Z rarr Z` be defined as
g(n)= `n/3` if n is a multiple of 3.
g(n)= 0 if n is not a multiple of 3. Show that gof = `I_z and fog ne I_Z`

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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
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  2. If A = (a,b,c,d) and f corresponds to the subset (a,b),(b,d),(c,a),(d,...

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