How do you find the domain of $f (x) = \frac{1}{| 2 x | - 6}$ $f(x)=1/(|2x| - 6)$ ?

Question

1371 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-05T21:53:09

$x \neq \pm 3$ $x!=+-3$

$| 2 x | - 6 \neq 0$ $|2x|-6!=0$
$| 2 x | \neq 6$ $|2x|!=6$
$2 x \neq \pm 6$ $2x!=+-6$
$x \neq \pm 3$ $x!=+-3$

How do you find the domain of f(x)=1/(|2x| - 6)f(x)=1|2x|−6 f(x)=1/(|2x| - 6)?