Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

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

Options:

R – {-1, -2}

(-2, ∞)

R – {-1, -2, -3}

(-3, ∞) – {-1, -2}

Correct Answer:

(-3, ∞) – {-1, -2}

Explanation:

$x +3 > 0$

$⇒x>-3$

and $x^2+ 3x +2 ≠ 0$

so $(x+1)(x+2)≠ 0$

$x≠-1,-2$

⇒ Domain = $(-3, ∞) – \{-1, -2\}$

Hence (4) is the correct answer.