Question: we know that (Z; *) is a group, where ry:=x - 3+ y for all x, y Z. Let y: Z Z be defined

we know that (Z; *) is a group, where ry:=x - 3+

we know that (Z; *) is a group, where ry:=x - 3+ y for all x, y Z. Let y: Z Z be defined by p(x):=x+3 for all x E|Z. Show that is an isomorphism from (Z; +) 4 to (Z; *). To show that is invertible, it is enough to write down the inverse function.

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