Let the topological space X be with the finite complement topology, and let the topological space Y be with the discrete topology. Define a function

f: X---> Y byf(x)= - {x}. So, for example, If

U = -C, whereC= { }, thenf(U) =C

(a) Isfcontinuous?Why or why not?

(b) What is ?Is it continuous or not?

(c) Isfa homeomorphism? Why or why not?

Please help me out