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+1 vote
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in Sets, relations and functions by (53.3k points)

If domain of f(x) is [−1, 2], then the domain of f([x] − x2 + 4), where [·] denotes the greatest integer function, is

(a)  [-1,√7]

(b)   [-√3,-1]∪[-√3,√7]

(C)  (−1, √7]

(D)  [− √3, −1] ∪ (√3, √7)

1 Answer

+1 vote
by (53.1k points)
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Best answer

Correct option  (D)  [− √3, −1] ∪ (√3, √7)

Explanation :

We should have

−1 ≤ [x] − x2 + 4 ≤ 2 = x2 − 5 ≤ [x] ≤ x2 − 2

 On solving it by graph, we get

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