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

NDA 2024 Mathematics question

Which one of the following is correct in respect of and ?

Answer: (A)

needs , i.e. , which holds exactly for ; so the domain of is . needs , i.e. ,

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Question ID VK-029851