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8-96.

What is the inverse of g(x) = (x + 1)2 – 3 for x ≥ –1? Sketch graphs of g(x) and its inverse on the same set of axes, and then state the domain and range of the inverse function. Homework Help ✎

Let g(x) = y. Then interchange x and y.
x = (y + 1)2 − 3

Add 3 to both sides of the equation.
x + 3 = (y + 1)2

Take the square root of both sides.

D: x ≥ −3
R: y ≥ −1