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).
See the attached file.© BrainMass Inc. brainmass.com October 24, 2018, 11:03 pm ad1c9bdddf
This is a proof regarding functions, intersections, and subsets provided in an attached Word document.
Proof about Functions
Let f: X-->Y be a function from one set X to another set Y, let S be a subset of X, and let U be a subset of Y. What in general can one say about f^-1(f(S)) and S? What about f(f^-1(U)) and U?View Full Posting Details