First slide

Functions (XII)

Question

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

Easy

A

$R - {- 1, - 2}$
B

$(- 2, \infty)$
C

$R - {- 1, - 2, - 3}$
D

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

Solution

$\begin{array}{l} For domain of f (x) = \frac{\log_{2} (x + 3)}{x^{2} + 3 x + 2}, \\ x^{2} + 3 x + 2 \neq 0 and x + 3 > 0 \\ or x \neq - 1, - 2 and x > - 3 \\ ∴ T h e d o m a i n o f t h e f u n c t i o n = (- 3, \infty) - {- 1, - 2} \end{array}$

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