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-1
exists if
- 1 ≤ log3
≤ 1 ⇔ 3-1 ≤ 
≤ 3-1 ⇔ 1 ≤ x ≤ 9 or x ∈ [1, 9]
exists if- 1 ≤ log3
≤ 1 ⇔ 3-1 ≤ ≤ 3-1 ⇔ 1 ≤ x ≤ 9 or x ∈ [1, 9]Create a free account to view solution
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