Let f: A --> B, C and D be subsets of A, and E and F be subsets of B. Then
b) f(the union of C and D) = the union of f(C) and f(D)
d) f^-1(the union of E and F) = the union of f^-1(E) and f^-1(F)
This is a proof regarding functions, intersections, and subsets provided in an attached Word document.