Answer:
Option 4:
Step-by-step explanation:
A rational expression is undefined if the denominator (The bottom part of the fraction) is zero. If the denominator is zero, the fraction is automatically considered undefined, since there will never be an answer to the fraction.
To solve this question, all we need to do is replace x with 0 in the denominator, and see whether it becomes 0 or not.
For the steps I'll be writing below, I'll only be solving for the denominator since the value of the numerator does not matter at all in this question.
1. 3x - 3 --> 3(0) - 3 --> -3. The denominator is not zero, so it is defined.
2. 9x - 3 --> 9(0) - 3 --> -3. The denominator is not zero, so it is defined.
3. -x^2 + 1 --> -(0)^2 + 1 --> 1. The denominator is not zero, so it is defined.
4. -2x^2 --> -2(0)^2 --> 0. The denominator is zero, so it is undefined.
Since the 4th option was the only answer choice where the denominator became 0, that is our final answer.
(4x - 8)/(-2x^2) is undefined.