### Home > PC > Chapter 2 > Lesson 2.3.2 > Problem2-89

2-89.

Find 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. $f(x)=\frac{5}{x+2}$

1. $f(x)=\sqrt{3-x}$

1. $f(x)=\frac{x^2-4}{x^2-1}$

1. $f\left(x\right) = 5x^{3} + 7$