Question

determine the excluded value(s) of the rational expression: $f(x)=\frac{x - 5}{x^{2}-4}$ if there are multiple answers, separate them with a comma.

Explanation:

Step1: Set denominator equal to 0

$x^{2}-4 = 0$

Step2: Factor the quadratic

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

Step3: Solve for x using zero - product property

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

Answer:

-2,2