The domain of definition of $f(x) = \frac{\log _2(x+3)}{x^2+3 x+2}$ is :
Answer & explanation
Correct answer: option 4
$x +3 > 0$
$⇒x>-3$
and $x^2+ 3x +2 ≠ 0$
so $(x+1)(x+2)≠ 0$
$x≠-1,-2$
⇒ Domain = $(-3, ∞) – \{-1, -2\}$
Hence (4) is the correct answer.