Question

The domain of definition of f(x) $\frac{\log_{2}(x + 3)}{x^{2} + 3x + 2}$is

• A. R/{−1, −2}
• B. (−2, ∞)
• C. R/{−1, −2, −3}
• D. (−3, ∞)/{−1, −2}

Answer 1

Answer: (D)

(−3, ∞)/{−1, −2}

Answer 2

For domain of f(x) = $\frac{\log_{2}9x + 3}{x^{2} + 3x + 2}$

x² + 3x + 2 ≠ 0 and x + 3 > 0

⇒ x ≠ −1, −2 and x > − 3

∴ D_f = (−3, ∞) − (−1, −2)

∴ (4) is the correct alternative.