Find range of  f\left ( x \right )=\frac{1}{\left | x \right |-x}  ;

  • Option 1)

    \left ( 0,\infty \right )

     

     

  • Option 2)

    \left [0,\infty \right )

  • Option 3)

    R

  • Option 4)

    none of these.

 

Answers (1)

As we learned 

 

Range of function -

All possible values of  f(x)\: \: \forall x\in domain  (f) is known as Range 

-

 

 for x> 0\: \: \: \: ;\: \: \: \left | x \right |=x

for  x< 0\: \: \: \: ;\: \: \: \left | x \right |=-x

f(x)=\frac{1}{-x-x}=\frac{-1}{2x}


Option 1)

\left ( 0,\infty \right )

 

 

Option 2)

\left [0,\infty \right )

Option 3)

R

Option 4)

none of these.

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