### Home > PC3 > Chapter 6 > Lesson 6.1.3 > Problem6-51

6-51.

Graph each of the following functions and state the domain of each function.

The domain is all of the possible $x$-values for which an output of the function exists. Consider values where $x$ causes division by zero or a negative number inside an even root.

1. $f\left(x\right)=\frac{5}{x+2}$

1. $g\left(x\right)=\sqrt{3-x}$

1. $h\left(x\right)=\frac{1}{x^2-1}$

1. $j(x)=5x^3+7$