Answer
$\mathrm{Domain:}\ \ \ (-\infty ,0)\cup (0,\infty)$
$\mathrm{See\:the\:graph\:below.}$
Work Step by Step
$\mathrm{Remember:}$ The limiting factor on the domain for a rational function is the denominator, which cannot be equal to zero.
Take the denominator of the rational function and compare it to zero to get the un-defined points.
$|t|=0$
$t=0$
So the function is undefined at $\ t=0.\ $ Therefore, the function domain is $\ (-\infty,0)\cup (0,\infty).$
The graph of the given function $\ G(t)=\frac{1}{|t|}\ $ is similar to the graph of $\ y=\frac{1}{t}\ $, when $\ t\ $ is positive. When $\ t\ $ is negative, the graph of the given function will be the reflection of the graph of the function $\ y=\frac{1}{t}\ $ along the $\mathrm{y-axis}.$
See the graph below.
