Question

Find the first three output values of the fractal generating function . –3 + 2i, –34 – 129i, 8354 + 7526i –3 + 2i, 2 – 10i, 8354 + 7526i 2 – 10i, –99 – 38i, 8354 + 7526i –3 + 2i, 2 – 10i, –99 – 38i

Answer 1

Fractal Generating Function, is

 f(z)=z²-3+2i

⇒f(0)=0²-3+2i

f(0)= -3+2i

⇒f(-3+2i)

  =(-3+2i)²-3+2i

 =9-4-12 i-3+2i

=2-10 i

⇒f(2-10i)

 =(2-10i)²-3+2i

 =4-100-40i-3+2i

 = -38 i-99

So, First three output values of the fractal generating function are

1.⇒ -3+2i

2. ⇒ 2-10 i

3.⇒-38 i -99