If x > 3, which is equivalent to 1 / (1/(x + 2) + 1/(x + 3))?
Ax^2 + 5x + 6
B(2x + 5) / (x^2 + 5x + 6)
C(x^2 + 5x + 6) / (2x + 5)
D2x + 5
Answer & Solution
Correct answer: C. (x^2 + 5x + 6) / (2x + 5)
Combine denominator: 1/(x+2) + 1/(x+3) = ((x+3) + (x+2)) / ((x+2)(x+3)) = (2x + 5) / (x^2 + 5x + 6). Then the reciprocal is (x^2 + 5x + 6) / (2x + 5).
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