JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If \[\varphi (x)={{a}^{x}}\], then \[{{\{\varphi (p)\}}^{3}}\]is  equal to [MP PET 1999]

    A)            \[\varphi (3p)\]

    B)            \[3\varphi (p)\]

    C)            \[6\varphi (p)\]

    D)            \[2\varphi (p)\]

    Correct Answer: A

    Solution :

                       \[\varphi \,(x)={{a}^{x}}\,\Rightarrow \,\,\varphi \,\,(p)={{a}^{p}}\]            \[\therefore \,\,\,{{[\varphi \,(p)]}^{3}}={{[{{a}^{p}}]}^{3}}={{a}^{3p}}=\varphi \,(3p)\]


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