Question

find the domain of the rational function.
f(x)=\frac{-x^{2}+x}{x^{2}+11x + 24}
the domain is
(type your answer in interval notation.)

Explanation:

Step1: Set denominator not equal to 0

$x^{2}+11x + 24
eq0$

Step2: Factor the quadratic equation

$(x + 3)(x+8)
eq0$

Step3: Find the values of x to exclude

$x
eq - 3$ and $x
eq - 8$

Step4: Write the domain in interval - notation

$(-\infty,-8)\cup(-8,-3)\cup(-3,\infty)$

Answer:

$(-\infty,-8)\cup(-8,-3)\cup(-3,\infty)$