Question

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

I need to use this function to find the second iterate with an initial value of z_0=i

Answer 1

@haleyelizabeth2017

Answer 2

\(f(f(z_0))\) is what you have to compute, right?

Answer 3

I think so...? I'm not entirely sure. I need to find the second iterate.

Answer 4

What did you find for \(f(z_0)\)?

Answer 5

2i-(3+i) ...?

Answer 6

Yes, simplify it now (not necessary but makes life easier later)

Answer 7

i-3?

Answer 8

yes. Now compute \(f(i-3)\).

Answer 9

2(i-3)-(3+i)
2i-6-3-i
i-9

Answer 10

yes. that's it.

Answer 11

awesome, thank you (:

Answer 12

you're welcome