Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of z0 = -1 - 2i. a. 1 - 6i, 5 - 14i, 13 - 30i c. 5 - 2i, 13 - 2i, 29 - 2i b. 2 - 5i, 9 - 17i, 21 - 37i d. 3 - 2i, 17 - 2i, 23 - 2i

The correct option is a.

Step-by-step explanation:

The given function is

The initial value of function is .

First iterates of the function f(z) is

Second iterates of the function f(z) is

Third iterates of the function f(z) is

The first three iterates of the function f(z) are 1 - 6i, 5 - 14i, 13 - 30i, therefore option a is correct.