### Home > INT3 > Chapter 8 > Lesson 8.3.1 > Problem 8-96

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