If $f(x)=\frac{\log _e(x+3)}{x^2+3 x+2}$, then the domain of $f^{\prime}(x)$ is

JEE MATHEMATICS MCQ: FUNCTIONS

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

, then the domain of

f^{\prime}(x)

View answer and explanation

Correct option: D

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

\} .

Option D ((-3, ∞)-\{-1,-2,\},$.) is correct because it considers the domain of the logarithm and excludes points where the denominator is zero.

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