Question: Please answer this question thank you so much 1. Consider the curve y = f(x) = 2x -1. A. Find the exact area of the

 Please answer this question thank you so much 1. Consider the

Please answer this question thank you so much

curve y = f(x) = 2x -1. A. Find the exact area

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 = /(x) = 2% - 1 and y = x. ("Exact area" means no calculator numbers.) B. Find the inverse function y = (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 = / (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 /(x) on the interval [0.a] is equal to 1. You may use a calculator here

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