Find the domain of definition of each function:
a. f(z)=3z^2+5z+i+1
b. g(z)=1/z
c. h(z)=(z+i)/(z^2+1)
d. q(z)=(2z^2+3)/(|z-1|)
e. F(z)=e^3z
f. G(z)=e^z+e^-z
Describe the range of each function:
g. f(z)=z+5 for Re z>0
h. g(z)=z^2 for z in the first quadrant, Re z >=0, Im z >=0
i. h(z)= 1/z for 0<|z|<=1
j. p(z)=-2z^3 for z in the quarter-disk |z| < 1, 0<Arg z<pi/2