Isolated singularity question help I'm stumped

7. Suppose that 9(z) = f (1/2). If 9(z) has an isolated singularity at z = 0, then we say that f (2) has an isolated singularity at z = 00. Furthermore, if 9(2) has a pole of order k at z = 0, then we say that f(z) has a pole of order k at z = 00. Also, the residue of f(z) at z = 00 is dened to be Res(g(z); 0). (The reason for the minus sign is the \"change of orientation\" produced by the transformation to = 1/2.) a) Suppose that P(z) = on + alz + 0,222 + - -- + 65ka is a polynomial of degree It (so that age 712 0). Show that P(z) has a pole of order k at z = 00. b) What is the residue of P(z) at z = 00