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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Domain of the function \[f(x)=\frac{{{x}^{2}}-3x+2}{{{x}^{2}}+x-6}\] is

    A)                    \[\{x:x\in R,\ \ x\ne 3\}\]

    B)                    \[\{x:x\in R,\ \ x\ne 2\}\]

    C)            \[\{x:x\in R\}\]

    D)            \[\{x:x\in R,\ \ x\ne 2,\ x\ne -3\}\]

    Correct Answer: D

    Solution :

               \[f(x)=\frac{(x-2)\,(x-1)}{(x-2)\,(x+3)}\]                    Hence domain is \[\left\{ x\,\,:\,\,x\in R,\,\,x\ne 2,\,\,x\ne -3 \right\}\].


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