The domain of the function f ( x ) = log 2 ( x + 3 ) x 2 + 3 x + 2 is

Question

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

Smart Achievers · Accepted Answer

(4)

$x + 3 > 0$ $\Rightarrow x > - 3 \Rightarrow x \in (- 3, \infty)$

$x^{2} + 3 x + 2 \neq 0 \Rightarrow (x + 2) (x + 1) \neq 0$

$\Rightarrow x \neq - 1 and x \neq - 2$

$∴$ $Domain of f is given by (- 3, \infty) - {- 1, - 2}$

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