The domain of sin-1[log3(x/3)] is

• Relations Functions

The domain of sin^-1[log₃(x/3)] is

1. [-9, -1]
2. [-9, 1]
3. [-1,9]
4. [1, 9]

Answer

Domain of sin^-1x is [-1,1]

Therefore, -1 ≤ log₃(x/3) ≤ 1

3^-1 ≤ x/3 ≤ 3

1 ≤ x ≤ 9

Therefore, the domain of sin^-1[log₃(x/3)] is [1,9]

The correct option is D.