The domain of the function f(x)=1[x]2−3[x]−10 is (where [x] denotes the greatest integer less than (or) equal to ‘x’ )

[x2]−3[x]−10>0 x∈(−∞,−2)∪[6,∞)

The domain of the function f(x)=1[x]2−3[x]−10 is (where [x] denotes the greatest integer less than (or) equal to ‘x’ )

[x2]−3[x]−10>0 x∈(−∞,−2)∪[6,∞)

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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’ )

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$(- \infty, - 2) U (5, \infty)$

$(- \infty, - 3] U [6, \infty)$

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

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

answer is C.

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$[x^{2}] - 3 [x] - 10 > 0 x \in (- \infty, - 2) \cup [6, \infty)$

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The domain of the function f(x)=1[x]2−3[x]−10 is (where [x] denotes the greatest integer less than (or) equal to ‘x’ )

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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’ )