JEE Mains · Maths · STD 12 - 1. relation and function
The domain of the function \(f(x)=\frac{1}{\sqrt{[x]^2-3[x]-10}}\) is (where \([x]\) denotes the greatest integer less than or equal to \(x\) )
- A \((-\infty,-2) \cup(5, \infty)\)
- B \((-\infty,-3] \cup[6, \infty)\)
- C \((-\infty,-2) \cup[6, \infty)\)
- D \((-\infty,-3] \cup(5, \infty)\)
Answer & Solution
Correct Answer
(C) \((-\infty,-2) \cup[6, \infty)\)
Step-by-step Solution
Detailed explanation
\(\text { Sol. }[x]^2-3[x]-10 > 0\) \({[x] < -2 \text { or }[x] > 5}\)
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