Example 3.5: Again let X = Y = R. Define g by g(x) = x2. Thegraph of this function has the familiar parabolic shape as inFigure 3.1(b). Then for example, g([0, 1]) = [0, 1], g([1,2]) = [1, 4], g({?1, 1}) = {1}, g?1([0, 1]) = [?1, 1], g?1([1, 2])= [? ? 2, ?1]?[1, ? 2], g?1([0, ?)) = R.
*I need help understanding why each example in bold isthe answer it is*
*Please explain clearly why the inverse functions havethe answer they have because it is not clear to mewhy*
*Please show all work and step by stepsolution*
