The domain of definition of f ( x ) = log 2 ( x + 3 ) x 2 + 3 x + 2 is [2001]

Question

The domain of definition of $f (x) = \frac{\log_{2} (x + 3)}{x^{2} + 3 x + 2}$ is [2001]

Smart Achievers · Accepted Answer

(4)

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

we require

$x^{2} + 3 x + 2 \neq 0$ and $x + 3 > 0$

$\Rightarrow x \neq - 1, - 2$ and $x > - 3$

$∴$ $Domain of f (x) = (- 3, \infty) - {- 1, - 2}$

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