(3) Let X := {1, 2} and Y = {a, b, c} and consider the following functions f : P(X) x P( Y) - P(X x Y) (A, B) > AXB. g : P( X x Y) -> P(Y) S my: 3xEX, (x,y) ES}. (a) Determine the images of f and g. (b) Is f injective? Explain why. (c) What is g ({a, c})