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]

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