Multiple Choice Questions on For f to be a function what is the domain of f if f x ........ for NDA Exam Preparation

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Multiple Choice Questions

For f to be a function what is the domain of f if f x ........

Mathematics (NDA) Relations and Functions
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    For f to be a function, what is the domain of f, if f(x)= \frac{1}{\sqrt{\left | x \right |-x}} ?

    (- ∞,0)

    Correct Answer

    (0,∞)

    Incorrect Answer

    (-∞,∞)

    Incorrect Answer

    (-∞,0)

    Incorrect Answer
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    Explanation:

    f(x) is defined if
    |x| -x =0
    =>  |x| > x
    For x > 0, x > x, (not possible)
    For x < 0, – x > x 
    => 2x < 0 
    => x < 0 (possible)
    So, domain of f =(-∞,0)

    By: Munesh Kumari
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