# How do you find the domain of the function 4/ (x^2-4)?

Apr 13, 2018

the domain is all real x except when $x = \pm 2$

#### Explanation:

For the domain, look at the denominator. For fractions, the denominator cannot equal to zero as this is considered undefined

ie ${x}^{2} - 4 \ne 0$

SO to find where it equal to zero, you say

${x}^{2} - 4 = 0$

$x = \pm 2$

Therefore, the domain is all real x except when $x = \pm 2$