2. Define f on [0,00) and 9 on R by f(x) = Vx and g(x) = l/x...

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2. Define f on [0,00) and 9 on R by f(x) = Vx and g(x) = l/x if x =f ° and g(O) = 0.

(a) Find f(E) and g(E) for E = (0,1), E = [0,1), and E = [0,1], and explain some of your answers by appealing to results in this section.

(b) Find f-l(E) and g-I(E) for E = (-1,1) and E = [-1,1], and explain some of your answers by appealing to results in this section.

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