Question

Find the excluded values of $\frac{2x+1}{x^2-x-6}.$

• A. $-2\&3$
• B. $2\&-3$
• C. $2\&3$
• D. $-2\&-3$

Answer 1

The correct option is A $-2\&3$

To find the excluded value for a given rational expression, consider the denominator equal to zero.

Here, $x^2-x-6=0$
$\Rightarrow (x+2)(x-3)=0$
$\Rightarrow x=-2\&x=3$

$\therefore$ the excluded values of $\frac{2x+1}{x^2-x-6}$ are -2 and 3.