Find the composite function $h(x)=f(g(x)).$

$f(x)=\frac{1}{x-8}$

$g(x)=x^2+7$

$f(g(x))=$

Discuss the continuity $ofh(x).$

The composition function $is$ continuous for all real $x.$

The composition function $is$ not continuous $atx=+-1.$

The composition function $is$ not continuous $asg$ has domain restrictions.

The composition function does not exist $asno$ values $ofx$ satisfy the domain.

The composition function $is$ continuous $as$ all composite functions are continuous.

Find the $x-$values $(if$ any$)at$ which $his$ not continuous. $(Enter$ your answers $as$ a comma$-$separated list. $Ifan$ answer does not exist, enter DNE.$)$

$x=$