2. Consider the exponential function f(x) =2\"2 +1. A. Find the inverse function, f"(x), and state the domain of the inverse function. (4 points) B. Find the coordinates (X, y) of the two points of intersection between f(x) and the line y = X. (2 points) C. Determine the exact area of the region bounded by x) and y = x. (3 points) D. Determine the area of the region bounded by f(x) and f'](x). (2 points) E. Determine the value of a, such that the average value of the function x) on the interval [2, a] is 8. Round your value for a to 3 decimal places. (4 points)