Question

question #9
determine the domain restriction(s) or excluded values of the following rational expression: $\frac{x - 6}{x^{2}+6x + 8}$
$x = 4,x = 2$
$x=-4,x = - 2$
$x=-4,x=-2,x = 6$
$x = 4,x = 2,x=-6$

Explanation:

Step1: Set denominator equal to 0

$x^{2}+6x + 8=0$

Step2: Factor the quadratic equation

$(x + 2)(x + 4)=0$

Step3: Solve for x

$x+2 = 0$ gives $x=-2$; $x + 4=0$ gives $x=-4$

Answer:

$x=-4,x=-2$