0\\\\(x-\sqrt3)(x+\sqrt3)>0\\\\+ + + +(-\sqrt3)- - - - (\sqrt3)+ + + + +\\\\x\in (-\infty,-\sqrt3)U(\sqrt3,+\infty)\\\\2)\; y=ln(1-4x^2)\\\\OOF:\; 1-4x^2>0\\\\(1-2x)(1+2x)>0\\\\- - - - - (-\frac{1}{2})+ + + + + +(\frac{1}{2})- - - - - - \\\\x\in (-\frac{1}{2},\frac{1}{2})" alt="y=\frac{1}{\sqrt{x^2-3}}\\\\OOF:\; x^2-3>0\\\\(x-\sqrt3)(x+\sqrt3)>0\\\\+ + + +(-\sqrt3)- - - - (\sqrt3)+ + + + +\\\\x\in (-\infty,-\sqrt3)U(\sqrt3,+\infty)\\\\2)\; y=ln(1-4x^2)\\\\OOF:\; 1-4x^2>0\\\\(1-2x)(1+2x)>0\\\\- - - - - (-\frac{1}{2})+ + + + + +(\frac{1}{2})- - - - - - \\\\x\in (-\frac{1}{2},\frac{1}{2})" align="absmiddle" class="latex-formula">