### Home > CCA2 > Chapter 8 > Lesson 8.3.2 > Problem 8-142

8-142.

Find the inverse of *g*(*x*) = (*x* + 1)^{2} − 3 with the domain *x* ≥ −1. Sketch both graphs and 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.