Which one of the following is correct in respect of f(x)= {1}/{\sqrt{|x|-x}} and g(x)= {1}/{\sqrt{x-|x|}} ?

Correct Answer is : f(x) has some domain and g(x) has no domain

f(x) has some domain and g(x) has no domain

f(x) has no domain and g(x) has some domain

f(x) and g(x) have the same domain

f(x) and g(x) do not have any domain

UPSC NDA I 2024 Mathematics Paper

Question : 80 of 120

Marks: +1, -0

Which one of the following is correct in respect of f(x)=‌

√|x|−x

and g(x)=‌

√x−|x|?

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