First slide

Functions (XII)

Question

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

Moderate

A

$\begin{array}{l} R - \{- 1, - 2\} \end{array}$
B

$\begin{array}{l} (- 2, \infty) \end{array}$
C

$\begin{array}{l} R - \{- 1, - 2, - 3\} \end{array}$
D

$(- 3, \infty) - \{- 1, - 2\}$

Solution

$\begin{array}{l} Here x + 3 > 0 and x^{2} + 3 x + 2 \neq 0 . \\ Therefore, x > - 3 and (x + 1) (x + 2) \neq 0, i . e ., x \neq - 1, - 2 . \\ Therefore, the domain is (- 3, \infty) - \{- 1, - 2\} . \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App