Question

question #1 determine the domain restriction(s) or excluded values of the following rational expression: $\frac{x + 1}{x^{2}-3x - 4}$
$x = 4,x=-1,x = 1$
$x=-4,x=-1,x = 1$
$x=-4,x = 1$
$x = 4,x=-1$

Explanation:

Step1: Set denominator equal to 0

$x^{2}-3x - 4=0$

Step2: Factor the quadratic equation

$(x - 4)(x+1)=0$

Step3: Solve for x

$x - 4=0$ gives $x = 4$; $x + 1=0$ gives $x=-1$

Answer:

$x = 4,x=-1$ (corresponding to the last option in the multiple - choice)