1. The problem statement, all variables and given/known data f: A -> B is a function with C a subset of B. Prove that f(f^-1(C)) = [C intersection Im(f)]. (f^-1(c) = f inverse of C) 2. Relevant equations 3. The attempt at a solution Please let me know how to approach to the solution (not using venn diagrams). Also if possible give me any link that gives tips on approaching any general sets and functions problem. Thank you.