In using the derivative verify that the function in the indicated exercise is always increasing or always decreasing and therefore one-to one. Exercise 37 In for the function determined by the given equation (a) determine its domain (b) sketch its graph (c) determine its range (d) show the function is one-to-one (e) sketch the graph of its inverse function (f) determine the domain of the inverse function (g) determine the range of the inverse function (h) find the equation of the inverse function and (i) verify that f-1 (f(x)) = x and f(f-1(x)) = x.
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