2. (a) Explain why the function f(x) = e is not injective (one-to-one) on its natural domain. (b) Find the largest possible domain A, where all elements of A are non-negative and f : A - R, f(x) = e" is injective. (c) Find a codomain B such that f : A - B, f(x) = ex is surjective. (d) Show that g: B - A, g(x) = vin x is the inverse of f. Why is f-1(x) # -Vina