The domain of the function $f(x)=\sqrt{|x-1|-1}$ is

JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

The domain of the function

f(x)=\sqrt{|x-1|-1}

View answer and explanation

Correct option: B

(-\infty, 0] \cup[2, \infty)

Option B

((-\infty, 0] \cup[2, \infty))

is correct because the expression inside the square root must be non-negative, leading to the inequality

|x-1| \geq 1

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