A \( \frac{1 + x^{2}}{2 x - 1} \)
B \( \frac{2 x - 1}{1 + x^{2}} \)
C \( - \frac{1 + x^{2}}{2 x - 1} \)
D \( - \frac{2 x - 1}{1 + x^{2}} \)
Correct Answer: Option D
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