How do you find the domain in interval notation for $f(x)=(x+4)/(x^2-4)$ ?

Question

2386 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-30T13:30:38

$f(x)=(x+4)/(x^2-4)$

$f(x)=(x+4)/color(red)[(x)^2-(2)^2]$

$f(x)=(x+4)/color(red)[(x+2)(x-2)]$ $lArr (a)^2-(b)^2=(a+b)(a-b)$

$x$ can not be $-2$ or $2$ , otherwise $f(x)=oo$

Domain:
$x in RR$ except $-2$ and $2$ .

How do you find the domain in interval notation for f(x)=(x+4)/(x^2-4) f(x)=(x+4)/(x^2-4) ?