If [ x ] denotes the greatest integer ≤ x , then the domain of the function f x = 4 - x 2 [ x ] + 2 is

Question

If [ x ] denotes the greatest integer ≤ x , then the domain of the function f x = 4 - x 2 [ x ] + 2 is, ( - ∞ , - 2 ] ∪ [ - 1 , 2 ), ( - ∞ , - 2 ) ∪ [ - 1 , 2 ], ( - ∞ , - 2 ) ∪ ( - 1 , 2 ), ( - ∞ , - 1 ] ∪ [ 1 , 2 ]

MARKS App · Accepted Answer

f x = 4 - x 2 [ x ] + 2 it will be defined if 4 - x 2 x + 2 ≥ 0 ⇒ x 2 - 4 x + 2 ≤ 0 x - 2 x + 2 x + 2 ≤ 0 x ∈ - ∞ , - 2 ∪ - 1 , 2

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