Set, Relation and FunctionHard
Question
Domain of definition of the function f(x) = 
+ log10 (x3 - x), is
+ log10 (x3 - x), isOptions
A.(1, 2)
B.(- 1, 0) ∪ (1, 2)
C.(1, 2) ∪ (2, ∞)
D.(-1, 2) ∪ (1, 2) ∪ (2, ∞)
Solution
4 - x2 ≠ 0
⇒ x ≠ ± 2
x3 - x > 0
⇒ x (x + 1) (x - 1) > 0.
Hence (D) is the correct answer.
⇒ x ≠ ± 2
x3 - x > 0
⇒ x (x + 1) (x - 1) > 0.
Hence (D) is the correct answer.
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