Example 3.5: Again let X = Y = R. Define g by g(x) = x2. The...

Example 3.5: Again let X = Y = R. Define g by g(x) = x2. The graph of this function has the familiar parabolic shape as in Figure 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 is the answer it is*

*Please explain clearly why the inverse functions have the answer they have because it is not clear to me why*

*Please show all work and step by step solution*

Expert Solution

Colby Messinger answered 2 years ago

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