1. (7 points) Suppose f is a one-to-one function. If we know that f(-5) = 13, what can we say about f-1? No explanation necessary. 2. (7 points) Find two functions f and g such that (go f)(x) = x2 + 1 and neither g(x) = x nor f(x) = x. No explanation necessary. 3. (7 points) Below is a sketch of the graph of the function f(x) = -3x3 + 27x + 500 (not to scale). Find the coordinates of the point (a, b) (i.e., solve for a and b). Show all your work. (a, b) X 4 4. (7 points) Solve the inequality 3x - 13 325"). 5. (7 points) Find all real solutions to the equation x2 - 9x + 18 = 0. If there are no real solutions, briefly (1 sentence) EXPLAIN how you know there are no real solutions. Show all your work, and leave your answer(s) (if any) in exact form (i.e., radicals and fractions, not decimals)