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![y= frac{3}{sqrt{x^2+4x-12}};\sqrt{x^2+4x-12} neq 0\
=> x^2+4x-12>0;\D=64; \x_1= frac{-4+8}{2}=2;
\x_2= frac{-4-8}{2}=-6;\ (x-2)(x+6)>0;
\ ++++(-6)-------2++++\ x in (- infty;-6) cup (2; +infty).](https://tex.z-dn.net/?f=y%3D+frac%7B3%7D%7Bsqrt%7Bx%5E2%2B4x-12%7D%7D%3B%5Csqrt%7Bx%5E2%2B4x-12%7D%C2%A0neq+0%5C%0A%3D%26gt%3B+x%5E2%2B4x-12%26gt%3B0%3B%5CD%3D64%3B+%5Cx_1%3D+frac%7B-4%2B8%7D%7B2%7D%3D2%3B%0A%5Cx_2%3D+frac%7B-4-8%7D%7B2%7D%3D-6%3B%5C+%28x-2%29%28x%2B6%29%26gt%3B0%3B%0A%5C+%2B%2B%2B%2B%28-6%29-------2%2B%2B%2B%2B%5C+x+in+%28-+infty%3B-6%29+cup+%282%3B+%2Binfty%29. "y= frac{3}{sqrt{x^2+4x-12}};\sqrt{x^2+4x-12} neq 0\
=> x^2+4x-12>0;\D=64; \x_1= frac{-4+8}{2}=2;
\x_2= frac{-4-8}{2}=-6;\ (x-2)(x+6)>0;
\ ++++(-6)-------2++++\ x in (- infty;-6) cup (2; +infty).")
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