Question

22. Find the first three output values of the fractal generating function f(z) = Z2 – 3 + 2i.-3 + 2i, 2 - 101, 8354 + 75261-3 + 21, -34 - 1291, 8354 + 7526-3 + 21, 2 - 107, -99 - 3812 - 107, -99 - 381, 8354 + 75261No

Answer 1

f(z) =z² - 3+2i

For the firs ouput subsitute z =0 in the above

f(0) = (0)² - 3 + 2i = -3 + 2i

For the second output, substitute z=-3 + 2i into the function

f(-3+2i) = (-3+2i)² - 3 + 2i

=(-3+2i)(-3+2i) - 3 + 2i

= 9 -6i - 6i - 4 - 3 + 2i

= 9 -12i - 7 + 2i

= 2 - 10i

For the third output, substitute 2-10i into the function

f(2-10i) = (2-10i)² - 3 + 2i

= (2-10i)(2-10i) - 3 + 2i