1. ## conjugates and analytics

Hi, I'm having a little bit of trouble comprehending the attached question.

First of all
show that

g(z) = f(z¯)¯¯¯¯¯¯

Is the [f(z bar)]bar simply not the same as f(z) ? as it is the conjugate of the conjugate.

could someone give me a pointer/hint as to how I'd go about showing g(z) is analytic on U bar? C-R equations come to mind.

Finally, isn't the last part of the question a given? How is one supposed to show that, if they have already define g(z) to equal (f(z bar))bar