Mathematics · Relations and Functions
Let the sets A and B denote the domain and range respectively of the function f(x) = 1 / ( ⌊√x⌋ - x ), where ⌊x⌋ denotes the greatest integer less than or equal to x. Then among the statements: (S1): A ∩ B = (1, ∞) - &mathbb{N} and (S2): A ∪ B = (1, ∞)
- 1only (S2) is true
- 2neither (S1) nor (S2) is true
- 3both (S1) and (S2) are true
- 4only (S1) is true✓
Correct answer
only (S1) is true
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