A) \[R-\{-1,-2\}\]
B) \[(-2,\infty )\]
C) \[R-\{-1,-2-3\}\]
D) \[(-3,\infty )-\{-1,-2\}\]
Correct Answer: D
Solution :
[d] We have , \[F(x)=\frac{{{\log }_{2}}(x+3)}{{{x}^{2}}+3x+2}\] \[\therefore \,\,\,\,F(x)\] is defined if \[x+3>0\] and \[{{x}^{2}}+3x+2\ne 0\] \[\Rightarrow F(x)\] is defined if \[x>-3\] and \[x\ne -1,-2\] \[\Rightarrow \] Domain of \[F(x)=(-3,\infty )-\{-1,\,\,-2\}\]
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