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  • The Domain of the function f(x)=1/square root (|x| -x), is

The Domain of the function f(x)=1/square root (|x| -x), is

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Solution:    We have ,

                                   f(x)=frac1sqrtleft | x ight |-x,

                      \ Rightarrow    f(x)  is well defined  if   left | x ight |-x> 0

                    Rightarrow     left | x ight |> xRightarrow x  is negative.

                     herefore       D(f)=(-infty ,0).

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Deependra Verma

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