### Home > APCALC > Chapter 1 > Lesson 1.2.4 > Problem1-71

1-71.

State the domain of each of the following functions.

1. $f(x) = \sqrt { x + 2 }$

If the domain of the parent graph,$y=\sqrt{x}, \text{ is } x \geq 0$, what is the domain of $f(x)?$

1. $g(x) =\frac { 1 } { x - 4 }+3$

If the domain of the parent graph,$y=\frac{1}{x}, \text{ is } x \neq 0$, what is the domain of $f(x)$?

1. $h(x) = \log(x - 4)$

If the domain of the parent graph,$y=\text{ log}{x}, \text{ is } x > 0$, what is the domain of$f(x)$?

1. $j(x) =\sqrt { \frac { 2 - x } { x } }$

This is a composite function.  The inner function is $\frac{2-x}{x}$, and the domain of its parent can be found in the hint in part (b). The outer function is $\sqrt{x}$, which has an even more restrictive domain, as shown in the hint in part (a).  What is the domain of $f(x)$?