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

JEE MATHEMATICS MCQ: FUNCTIONS

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The domain of

f(x)=\frac{\log _{2}(x+3)}{x^{2}+3 x+2}

View answer and explanation

Correct option: D

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

Option D (

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

) is correct because the argument of the logarithm must be greater than 0 (x > -3) and the denominator cannot be zero (

x \neq -1, -2

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