Correct Answer: Option C

Explanation

An fraction is undefined when the denominator has value = 0.

\(\frac{x^{2} - 9x + 18}{x^{2} + 2x - 35}\) is undefined when \(x^{2} + 2x - 35 = 0\)

\(x^2 + 7x - 5x - 35 = 0 \implies (x + 7)(x - 5) = 0\)

\(x = \text{-7 or 5}\)

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