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JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1
The largest possible set of real numbers which can be the domain of f(x)=1−1xf\left( x \right) = \sqrt {1 - \frac{1}{x}} is
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Correct option: D
(−∞,  0)∪[1,  ∞)\left( { - \infty ,\;0} \right) \cup \left[ {1,\;\infty } \right)
Option D ((−∞,  0-\infty ,\;0) ∪\cup [1,  ∞1,\;\infty)) is correct because it represents the set of real numbers for which the expression inside the square root is non-negative.

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