Let z be a point that lies on |z| < 2 and f(z) = iz – z² + 3i. Then Im(f(z)) is O >1 >9 <1 O None of these <9

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A: Let's find.

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Q: 3. (a) Prove that the function f : R → R, ƒ(x) = 4x² −14x¹+30x-17, is injective. (b) Find the…

A: The answer to this question is given below.Explanation:

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.