Answer
The expression is undefined if $x=-1$ or $x=-8$.
Work Step by Step
A fraction is undefined, if the denominator equals to zero.
Here:
$x^2+9x+8=0$
$(x+1)(x+8)=0$
First solution if:
$x+1=0$
$x=-1$
Second solution, if:
$x+8=0$
$x=-8$
The expression is undefined if $x=-1$ or $x=-8$.