### Home > A2C > Chapter 9 > Lesson 9.3.2 > Problem 9-144

9-144.

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

First switch the placement of *x* and *y*.

*x* = (*y* + 1)^{2} − 3

*x* + 3 = (*y* + 1)^{2}

D: *x* ≥ −3,

R: *y* ≥ −1