(a) Proceed as in Example to show that the complex linear function f(z) = az + b, a ≠ 0, i...

(a) Proceed as in Example to show that the complex linear function f(z) = az + b, a ≠ 0, is one-to-one on the entire complex plane.

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(b) Find a formula for the inverse function of the function in (a).

EXAMPLE Inverse Function of f (z) = z + 3i