The correct answer for the exercise shown above is: x=-2
The explanation is shown below:
1. You have the following expresssion given in the problem above:
x²/-4x-8
2. By definition, the nonpermissible replacement for x in this expression, is the value of x that makes the denominator equal to zero.
3. Keeping this on mind, you have:
-4x-8=0
-4x=8
x=8/-4
x=-2
x²/-4x-8= (-2)²/(-4)(-2)-8= 4/8-8= 4/0
Therefore, as you can see, the answer is x=-2.