2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Functions

JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    The domain of \[f(x)=\frac{{{\log }_{2}}(x+3)}{{{x}^{2}}+3x+2}\] is [IIT Screening 2001; UPSEAT 2001]

    A)            \[R-\{-1,\ -2\}\]

    B)            \[(-2,\ +\infty )\]

    C)            \[R-\{-1,\ -2,\ -3\}\]

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

    Correct Answer: D

    Solution :

               Here \[x+3>0\] and \[{{x}^{2}}+3x+2\ne 0\]            \ \[x>-3\] and \[(x+1)(x+2)\ne 0,\] i.e. \[x\ne -1,\,-2\]                    \ Domain\[=(-3,\,\infty )-\{-1,\,-2\}\].


You need to login to perform this action.
You will be redirected in 3 sec spinner