Inverse Trigonometric Functions
General
Grade 12

Question:

The domain of the function <span class="math-inline">\(\sin^{-1}\left( \log_{2}\left( \frac{x}{3} \right) \right)\)</span> is-
[<span class="math-inline">\frac{1}{2}</span>, <span class="math-inline">3</span>]
[<span class="math-inline">\frac{1}{2}</span>, <span class="math-inline">3</span>]
[<span class="math-inline">\frac{3}{2}</span>, <span class="math-inline">6</span>]
[<span class="math-inline">\frac{1}{2}</span>, <span class="math-inline">2</span>]

Step-by-Step Solution

Key Concept: General
−∞ < x ≤ 0
Correct Answer: i

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