Solve these questions: SHOW WORK

1) Show the power set of the set {1,2,3,4}

Find the sets A and B if A-B = {5, 10, 20}, B-A = (3, 6, 12), and A B = {1, 2, 4, 8, 16} Can you conclude that A = B if A, B, and C are sets such that A C = B C and A C = B C? Prove your answer. Find f g and g f where f(x) = x^2 + 1 and g(x) = x + 2 are functions from R to R. Find f g and g f where f(x) = x^2 + 1 and g(x) = 3x are functions from R to R Determine whether each of the following functions from {a, b, c, d, e} to itself is one-to-one. Diagram the mapping. Which, if any, of these functions is onto? f(a) = a f(b) = c f(c) = e f(d) = b f(e) = c