Answer to Question #77238 in Discrete Mathematics for muhammad hassan

Question

Q : 1) Determine whether each function is one-to-one. The domain of each
function is the set of all real numbers. If the function is not one-to-one,
prove it. Also, determine whether f is onto the set of all real numbers. If f is
not onto, prove it.
a) f(x) = 6x – 9
b) f(x) = 2x3 - 4

Q : 2) Let A = {1, 2, 3}, B = {p, q} and C = {a, b}. Let f: A → B is f = {(1, p), (2, p), (3,
a)} and g: B → C is given by {(p, b), (q, b)}. Find go f and show it pictorially.