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

  • question_answer
    If f and g are two functions defined as \[f(x)=x+2,\]\[x\le 0;\,\,g(x)=3,\,\,x\ge 0,\] then the domain of \[f+g\] is

    A) \[\{0\}\]

    B)                    \[\left[ 0,\infty  \right)\]

    C) \[(-\infty ,\infty )\]

    D)        \[(-\infty ,0)\]

    Correct Answer: A

    Solution :

    [a] \[D(f+g)=D(f)\cap D(g)\] \[=(-\infty ,0]\cap [0,\infty )=\{0\}\]


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