Set, Relation and FunctionHard

Question

The domain of sin^-1 [log₃ (x/3)] is

Options

A.[1, 9]

B.[-1,9]

C.[-9, 1]

D.[-9, -1]

Solution

f(x) = sin^-1exists if
- 1 ≤ log₃

≤ 1 ⇔ 3^-1 ≤ ≤ 3^-1 ⇔ 1 ≤ x ≤ 9 or x ∈ [1, 9]

Create a free account to view solution

View Solution Free

Topic: Set, Relation and Function·Practice all Set, Relation and Function questions

More Set, Relation and Function Questions

Let f : N → Y be a function defined as f (x) = 4x + 3, where Y = {y ∈ N : y = 4x + 3 for some x ∈ N}. ...The function f : R → R given by f(x) = x(tan-1x)2 is -...Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A∪ B ?...Let R {(3, 3), (6, 6), (9, 9), (12, 12) (6, 12) (3, 9) (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12}. The ...In , consider the planes P1 : y = 0 and P2 : x + z = 1. Let P3 be a plane, different from P1 and P2, which passes throug...