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+1 vote
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in Sets, relations and functions by (50.2k points)

The domain of definition of the function f(x) = (log2(x + 3))/(x2 + 3x + 2) is

(a) R – {– 1, – 2} 

(b) (– 2, 

(c) R – {– 1, – 2, –3} 

(d) (– 3, ) – {–1, – 2}

1 Answer

+1 vote
by (54.5k points)
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Best answer

Correct option (d) (– 3, ∞) – {–1, – 2}

Explanation:

Here, x2 + 3x + 2 = 0 gives x = –1, –2

The function log2(x + 3) is defined for x + 3 > 0

⇒ x > –3  x  (– 3, 

Thus domian of the function f is

= (– 3, ) – (– 1, – 2)

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