Question

the function h is defined below.
$h(x)=\frac{x - 8}{x^2 - 7x - 8}$
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: Identify domain restriction

A rational function is undefined when its denominator equals 0. So set the denominator equal to 0:
$x^2 - 7x - 8 = 0$

Step2: Factor the quadratic equation

Factor the trinomial into two binomials:
$(x - 8)(x + 1) = 0$

Step3: Solve for x

Set each factor equal to 0 and solve:
$x - 8 = 0 \implies x = 8$
$x + 1 = 0 \implies x = -1$

Answer:

$x = -1, 8$