7.(a) Let X = {z € C: 0 < Arg(z) < π/3} and let ƒ: X → C be the function defined on X by f(z) = 2³. Determine the range of f. (I.e., determine which complex numbers can be expressed as f(z) for some z € X.) (b) Let Y = {z € C: 0 < |z] < 1} and let g: Y → C be the function defined on Y by g(z) = 1/2. Determine the range of g.

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