JEE Main & Advanced Mathematics Functions Question Bank Self Evaluation Test - Relations and Functions-I

  • question_answer
    The domain of the function \[f(x)=\frac{\left| x+3 \right|}{x+3}\] is

    A) \[\{-3\}\]

    B)        \[R-\{-3\}\]

    C) \[R-\{-3\}\]

    D)        \[R\]

    Correct Answer: B

    Solution :

    [b] Here, \[f(x)\]is defined only when \[x+3\ne 0,\] i.e., when \[x\ne -3\therefore D(f)=R-\{-3\}.\]


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