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

2-111.

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

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

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

Pay particular attention to the domain of g(x). You cannot take the square root of a negative number.