JEE Main & Advanced Sample Paper JEE Main - Mock Test - 16

  • question_answer
    Let \[g(x)=1+x-[x],[x]\]is the greatest integer not greater than x. If  then for all x, f(g(x)) equals

    A) x         

    B)        1     

    C) f(x)  

    D) g(x)

    Correct Answer: B

    Solution :

    [b]: The given functions are \[g(x)=1+x-[x]\] and We see that \[g(x)=1+x-[x]=1+(x-[x])\] \[=1+\{c\}\ge 1(\because 0\le \{x\}<1)\] \[\therefore \]\[f(g(x))=1\]for all x

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