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1. Consider the curve y = f(x) = 2x - 1. A. Find the exact area of the region in the first quadrant bounded by

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1. Consider the curve y = f(x) = 2x - 1. 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 = fl(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!)

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