Question

the function h is defined below.
$h(x)=\frac{x^2 + 4x - 32}{x^2 + 17x + 72}$
find all values of x that are not in the domain of h.
if there is more than one value, separate them with commas.
$x = \square$

Explanation:

Step1: Set denominator equal to 0

$x^2 + 17x + 72 = 0$

Step2: Factor the quadratic equation

$(x+8)(x+9) = 0$

Step3: Solve for x

$x+8=0 \implies x=-8$; $x+9=0 \implies x=-9$

Answer:

$x = -9, -8$