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  • Need explanation for: - Sets, Relations and Functions - JEE Main-4

What is the Domain of the function f(x)=\frac{2}{\sqrt{4-x^{2}}}\: \: ?

  • Option 1)

    x\epsilon \left [ -2,2 \right ]

     

     

     

  • Option 2)

    x\notin \left [ -2,2 \right ]

  • Option 3)

    x\epsilon \left ( -2,2 \right )

  • Option 4)

    x\notin \left ( -2,2 \right )

 

Answers (1)

best_answer

As we learned 

 

Domain of function -

All posible values of x for f(x) to be defined is known as domain.

-

 

 since   4-x^{2}> 0

x^{2}< 4

\Rightarrow x\epsilon \left ( -2,2 \right )

 


Option 1)

x\epsilon \left [ -2,2 \right ]

 

 

 

Option 2)

x\notin \left [ -2,2 \right ]

Option 3)

x\epsilon \left ( -2,2 \right )

Option 4)

x\notin \left ( -2,2 \right )

Posted by

Himanshu

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