1.

(Sorry if this is a little big.)

I don't really know where to start. I substituted z = a + bi into the equation, but that didn't seem to help me.

2.Let g:[b, 2] --> R, where g(x) = 1 - x^{2}, ifbis the smallest real value such thatghas an inverse function, findbandg^{-1}(x).

I know that b = 0, but why? I can find the inverse function, but I can't quite grasp why 0 is the smallest value which allowsgto have an inverse function.