The function f is defined by f: x 3 - (x + 1) 2 for x

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The function f is defined by f: x → 3 - (x + 1)2 for x ≥ - 1.

a. Explain why f has an inverse.

b. Find an expression for f-1 in terms of x.

c. On the same axes, sketch the graphs of y = f(x) and y = f-1(x), showing the coordinates of any points where the curves meet the coordinate axes.

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