A Find the exact area of the region in the first quadrant bounded by the curves y f x 2x 1 and y x Exact area means no calculator numbers B Find the inverse function y f x C Using part A and the notion of symmetry between a function and its inverse find the exact area of the region in the first quadrant bounded by the curves y f x and y x Explain your reasoning Hint Think graphically and little or no math will need to be done D Find a value for a such that the average value of the function f x on the interval 0 a is equal