The domain of f(x) = _2 (x + 3) x^2 + 3x + 2 is - Vidyadip

MCQ

The domain of $f(x) = \frac{{{{\log }_2}(x + 3)}}{{{x^2} + 3x + 2}}$ is

A
$R - \{ - 1,\; - 2\} $
B
$( - 2,\; + \infty )$
C
$R - \{ - 1,\; - 2,\; - 3\} $
✓
$( - 3,\; + \infty ) - \{ - 1,\; - 2\} $

✓

Answer

Correct option: D.

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

d
(d) Here $x + 3 > 0$ and ${x^2} + 3x + 2 \ne 0$

$\therefore$ $x > - 3$ and $(x + 1)(x + 2) \ne 0,$ $i.e.$ $x \ne - 1,\, - 2$

$\therefore$ Domain$ = ( - 3,\,\infty ) - \{ - 1,\, - 2\} $.

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