Fourier Series No.2: Evaluating Function g(x)

[asi123]

Fourier series no.2 :)

Homework Statement

Hey guys.
So I have this function f(x) between -pi and pi.
I found the Fourier series for it.
Now I need to find the Fourier series for g(x). The problem is, I'm not sure about g(x), is it correct what I did?
Thanks in advance.

Homework Equations

The Attempt at a Solution

 

[Mark44]

Can't tell what you did, since the attachment is still pending approval.