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

1-71.

State the domain of each of the following functions. Homework Help ✎

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

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

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

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

3. h(x) = log(x – 4)

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

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

$\text{This is a composite function.}$

$\text{The inner function is }\frac{2-x}{x},\text{ and the domain of its parent can be found in the hint in part (b).}$

$\text{The outer function is }\sqrt{x},\text{ which has an even more restrictive domain, as shown in the hint part (a).}$

$\text{What is the domain of }f(x)?$