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JEE Main & Advanced Sample Paper JEE Main Sample Paper-17

  • question_answer
    If domain of\[f(x)\] is\[[1,3].\]then the domain of \[f({{\log }_{2}}({{x}^{2}}+3x-2))\]will be

    A)  \[[-5,-4]\cup [1,2]\]

    B) \[[-13,-2]\cup [3/5,5]\]

    C)  \[[4,1]\cup [2,7]\]

    D)  \[[-3,2]\]

    Correct Answer: A

    Solution :

     \[1\le {{\log }_{2}}({{x}^{2}}+3x-2)\le 3\] \[\Rightarrow \]\[2\le ({{x}^{2}}+3x-2)\le 8\] \[\Rightarrow \]\[-5\le x\le -4\]or \[1\le x\le 2\]


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