Question

question #8
determine the domain of the following rational function: $y = \frac{x + 1}{x^{2}-3x - 4}$
$(-\infty,\infty)$
$(-\infty,-1)\cup(-1,4)\cup(4,\infty)$
$(-\infty,-4)\cup(-4,1)\cup(1,\infty)$
$(-\infty,-1)\cup(-1,\infty)$

question #9
determine the domain of the following rational function: $f(x)=\frac{3x - 7}{x + 4}$
$(-\infty,-4)\cup(-4,\infty)$
$(-\infty,\infty)$
$(-\infty,4)\cup(4,\infty)$
$(-\infty,\frac{7}{3})\cup(\frac{7}{3},\infty)$

Explanation:

Question #8

Step1: Set denominator not equal to 0

$x^{2}-3x - 4
eq0$

Step2: Factor the quadratic

$(x - 4)(x+ 1)
eq0$

Step3: Solve for x

$x
eq4$ and $x
eq - 1$

Step1: Set denominator not equal to 0

$x + 4
eq0$

Step2: Solve for x

$x
eq - 4$

Answer:

$(-\infty,-1)\cup(-1,4)\cup(4,\infty)$

Question #9