Domain of function f(x)=frac{1}{√{[x]^2-3[x]-10}} is (where [x] denotes greatest integer less than

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1.Relation and Function

hard

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

$(-\infty,-3] \cup(5, \infty)$

(JEE MAIN-2023)

Solution

$\text { Sol. }[x]^2-3[x]-10 > 0$

${[x] < -2 \text { or }[x] > 5}$

Standard 12

Mathematics

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