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JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    If f be the greatest integer function and g be the modulus function, then \[(gof)\left( -\frac{5}{3} \right)-(fog)\left( -\frac{5}{3} \right)=\]

    A)                    1

    B)            ?1

    C)                    2

    D)            4

    Correct Answer: A

    Solution :

               Given \[(gof)\,\,\left( \frac{-5}{3} \right)-(fog)\,\left( \frac{-5}{3} \right)\]            \[=g\,\left\{ f\left( \frac{-5}{3} \right) \right\}-f\left\{ g\left( \frac{-5}{3} \right) \right\}=g(-2)-f\left( \frac{5}{3} \right)=2-1=1\] .


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