Find all values of the variable for which the rational expression is undefined.
-$$\frac { x ^ { 2 } - 49 } { x ^ { 2 } + 2 x - 24 }$$
A) $- 7,7$
B) 0
C) $- 4,6$
D) $- 6,4$

Question

Quizplus · Accepted Answer

To find the values for which the rational expression is undefined, we need to look for values that would make the denominator equal to zero. Calculating the denominator, we get:
$$x^2+2x-24=(x+6)(x-4).$$
So the expression is undefined for $x=-6$ and $x=4$ (since the denominator would be equal to zero). Therefore, the answer is D: $-6,4$.

Find All Values of the Variable for Which the Rational x2−49x2+2x−24\frac { x ^ { 2 } - 49 } { x ^ { 2 } + 2 x - 24 }x2+2x−24x2−49​

Find All Values of the Variable for Which the Rational $\frac { x ^ { 2 } - 49 } { x ^ { 2 } + 2 x - 24 }$