The domain of definition of $$f(x)=log2$$⁡$$(x+3)x2+3x+2$$ is

Correct option is 4(−3,∞)−{−1,−2}

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

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R−{−1,−2}

(−2,∞)

R−{−1,−2,−3}

(−3,∞)−{−1,−2}

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detailed solution

Correct option is D

f(x)=log2⁡(x+3)x2+3x+2 log2⁡(x+3)⇒(x+3)>0⇒x>-3⇒x∈(-3, ∞) x2+3x+2≠0⇒(x+1)(x+2)≠0 ⇒x≠-1,x≠-2 Domain is (-3, ∞)-{-1,-2}

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The domain of definition of f(x)=log2⁡(x+3)x2+3x+2 is

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