A) \[x<1\]
B) \[\left| x \right|<1\]
C) \[-\frac{2}{\sqrt{3}}<x<\frac{2}{\sqrt{3}}\]
D) None of these
Correct Answer: D
Solution :
The given expression can be written as \[{{4}^{-1/2}}{{\left( 1-\frac{3}{4}x \right)}^{-1/2}}\] and it is valid only when \[\left| \frac{3}{4}x \right|<1\Rightarrow -\frac{4}{3}<x<\frac{4}{3}\]
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