Let f(x) = x and g(x) = 1/x if x 0 and g(0) = 0. a)
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a) Find f(E) and g(E) for E = (0, 1), E = [0, 1), and E = [0, 1]. Compare your answers to what Theorems 10.58, 10.61, and 10.62 predict. Explain any departures from the predictions.
b) Find f-1(E) and g-1(E) for E = (-1, 1) and E = [-1, 1]. Compare your answers to what Theorems 10.58, 10.61, and 10.62 predict. Explain any departures from the predictions.
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