The domain of the function f(x)=1 [x]^2-3[x]-10 is (where [x] den… - Vidyadip

MCQ

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
$(-\infty,-3] \cup[6, \infty)$
✓
$(-\infty,-2) \cup[6, \infty)$
D
$(-\infty,-3] \cup(5, \infty)$

✓

Answer

Correct option: C.

$(-\infty,-2) \cup[6, \infty)$

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

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

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