### Home > CALC > Chapter 2 > Lesson 2.3.1 > Problem2-111

2-111.

Given $f(x) = 2x + 1$ and $g ( x ) = \sqrt { x - 3 } + 2$, find expressions for the following functions and state the domain of each composition.

1. $h(x) = g(f(x))$

1. $k(x) = f(f(x))$