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If f(a)=\frac{1}{\sqrt{\left | a \right |-a}}, then domain of f(a) is

  • Option 1)

    (-\infty ,0)

  • Option 2)

    (-\infty ,2)

  • Option 3)

    (-\infty ,\infty)

  • Option 4)

    None of the above

 

Answers (1)

best_answer

As learnt in

Domain of function -

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

-

 

 f(a)=\frac{1}{\sqrt{\left | a \right |-a}}

For Domain

Here, \left | a \right |-a> 0

It is only possible when a< 0

Thus a\in (-\infty, 0)


Option 1)

(-\infty ,0)

This solution is correct

Option 2)

(-\infty ,2)

This solution is incorrect

Option 3)

(-\infty ,\infty)

This solution is incorrect

Option 4)

None of the above

This solution is incorrect

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