\( \&(x) \) be a function defined on \( [-1,1] \). If the area of the equilateral triangle with ...
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0\( \&(x) \) be a function defined on \( [-1,1] \). If the area of the equilateral triangle with two of its vertices at \( (0,0) \) and \( (x, g(x)) \) is \( \frac{\sqrt{3}}{4} \), then the function \( g(x) \).
(A) \( \pm \sqrt{1-x^{2}} \)
(B) \( -\sqrt{1-x^{2}} \) or \( \sqrt{1-x^{2}} \)
(C) \( \sqrt{1-x^{2}} \) only
(D) \( \sqrt{1+x^{2}} \)
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