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.
Create a free account to view solution
View Solution FreeMore Set, Relation and Function Questions
Let R be a relation defined on Z × Z0 (Z is the set of all integers and Z0 is the set of all non-zero integers) by ...Let A = {x1, x2,......, x7} and B = {y1, y2, y3} be two sets containing seven and three distinct elements respectively.T...Let R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} be a relation on the set A = {1, 2, 3, 4}. The relation R is...Area bounded by the curve f(x) = - tan2[x], , (where [.] denotes greatest integer function) and the lines x = to x = and...The relation R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)} on the set A = {1, 2, 3} is -...