SAT Math Practice Question #1639 (Medium (570)) | Test Citadel
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SAT Math Difficulty: Medium (570)

Digital SAT Math Practice Question #1639

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What are the vertical asymptotes of the rational function \(f(x) = \frac{x + 4}{x^2 - 9}\)?
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Denominator = 0: x^2 - 9 = 0 -> x = ±3.

Masterclass Solution & Distractor Trap Analysis

Vertical asymptotes occur where the denominator equals zero and the numerator is nonzero. Setting \(x^2 - 9 = 0\) yields \((x - 3)(x + 3) = 0\), so \(x = 3\) and \(x = -3\). Neither zeroes the numerator \(x + 4\), so both are vertical asymp...

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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