Multiple Choice Questions on Let g be the greatest integer function Then the function f x g x 2 minus g x2 is disc........... for NDA Exam Preparation

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Multiple Choice Questions

Let g be the greatest integer function Then the function f x g x 2 minus g x2 is disc...........

Mathematics (NDA) Relations and Functions
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    Let g be the greatest integer function. Then the function f(x) = (g(x))2 − g(x2 ) is discontinuous at -

    all integers

    Incorrect Answer

     all integers except 0 and 1

    Incorrect Answer

    all integers except 0

    Incorrect Answer

    all integers except 1 

    Correct Answer
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    Explanation:

    g(x) = [x]

    f(x) = [x]2 –[x2 ]

    f(x) is discontinuous at all integers except 1.

    By: Yachna
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