some questions

Let f be a function such that f(x+y) = x + f(y) for any two real numbers x and y. If f(0) = 2, then what is f(2012)?

 

and

 

Find all complex numbers z such that z^2 = 2i.  Write your solutions in a+bi form, separated by commas. So, "1+2i, 3-i" is an acceptable answer format, but "2i+1; -i+3" is not. (Don't include quotes in your answer.)  Note: This problem is not about functions.

 

thanks