Question

which value(s) of x will be excluded from the domain of the rational function? y = \frac{x - 3}{x^{2}-x - 12}
-3, 4
3
3, - 4
4

Explanation:

Step1: Set denominator equal to 0

$x^{2}-x - 12=0$

Step2: Factor the quadratic equation

$(x - 4)(x+3)=0$

Step3: Solve for x using zero - product property

$x - 4=0$ gives $x = 4$; $x+3=0$ gives $x=-3$

Answer:

A. -3, 4