If f(x)=sin−1(23 x−211−x2 )−21≤x≤1, then f(x) is equal to :

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Question

If $f (x) = s in^{- 1} (\frac{3}{2} x - \frac{1}{2} 1 - x^{2}) - \frac{1}{2} \leq x \leq 1$ , then f(x) is equal to :

s in^{- 1} (\frac{1}{2}) - s in^{- 1} (x)

s in^{- 1} x - \frac{π}{6}

s in^{- 1} x + \frac{π}{6}

None of these

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Oliver Discussed

f (x) = s in^{- 1} (\frac{3}{2} x - \frac{1}{2} 1 - x^{2}) - \frac{1}{2} \leq x \leq 1

, then f(x) is equal to :

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Question Text

f (x) = s in^{- 1} (\frac{3}{2} x - \frac{1}{2} 1 - x^{2}) - \frac{1}{2} \leq x \leq 1

, then f(x) is equal to :