Question

find the excluded value(s) of the rational expression $\frac{x^2 - x - 6}{3x^2 - 48}$.1. set the denominator equal to 0.$3x^2 - 48 = 0$2. solve for $x$.$3x^2 = 48$$x^2 = 16$what value(s) for $x$ will make the rational expression undefined?$-2, 3$$0$$pm16$

Explanation:

Step1: Isolate $x^2$ term

$3x^2 = 48$
$x^2 = \frac{48}{3} = 16$

Step2: Solve for $x$

Take square root of both sides:
$x = \pm\sqrt{16} = \pm4$

Answer:

$\pm4$
(Note: The provided options do not include the correct answer; the excluded values that make the expression undefined are $x=4$ and $x=-4$)