If $h(x)$ is a function whose domain is $[-8,8]$, and $g(x)=h\left(\frac x2\right)$, then the domain of $g(x)$ is an interval of what width?
The x/2 means that the domain of g (x) is twice as wide as that of h(x) [ it horizontally "stretches" the domain of h(x) by a factor of 2]
So
[ -16, 16 ] = domain of g (x)