2. Use the functions HI) = 3 23c2 and 3(1) = E for the following function composition problems. Simplify 1your answer as much as possible. {10 points] iai Find (.9 a mac) (h:- Find if a 5000 5. Use the function f(x) = (10 points) (a) Find the inverse of f(x). Label it as f-1(x). (b) What is the domain of f-1(x)? Use interval notation for your answer. (c) What is the range of f(x)? Use interval notation for your answer. (Hint: Since f (x) and f-1(x) are inverses, use the domain of f (x) to help you answer this question.) 5Directions: Answer each question as best as you can. Show all your thinking with the correct answer to get full credit on each question. Be sure to use correct mathematical notation. form, and units as demonstrated in the class or in videos. 1. Given f(x} = 2x2 51. Find the difference quotient: ht by completing the 3 steps below. {10 points] la] Find and simplifvf: + it) (ill Find f(x) to] Put parts {3) and (hi together over it, and simplify. 3. Determine where the function graphed below is increasing or decreasing and any relative (local) extrema. Assume the domain of the graph is (-co, co) and that it is continuous in both directions. (10 points) -20 -15 of (a) Increasing over the interval(s): (b) Decreasing over the interval(s): (c) local maximum value is (d) local minimum value is w