🎓 CLEP Exam Prep

What is the domain of the rational function f(x) = (x + 3) / (x² - 4x - 12)?

A All real numbers x ≠ -3
B All real numbers x ≠ 6 and x ≠ -2
C All real numbers x ≠ 3 and x ≠ -2
D All real numbers x ≠ 6

✓ Correct Answer: Option B

The domain of a rational function excludes values where the denominator is zero. Factor the denominator: x² - 4x - 12 = (x - 6)(x + 2). Setting it to zero gives x = 6 or x = -2. Thus, the domain is all real numbers except x = 6 and x = -2.

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