![image](https://tex.z-dn.net/?f=%28x%5E2-9%29log_%7B%5Cfrac%7B1%7D%7B3%7D%7Dx+%5Cleq+0%5C%3B+%2C%5C%3B+OOF%3A%5C%3B+x%3E0%5C%5C%5C%5Ca%29%5C%3B++%5Cleft+%5C%7B+%7B%7Bx%5E2-9+%5Cleq+0%7D+%5Catop+%7Blog_%7B%5Cfrac%7B1%7D%7B3%7D%7Dx+%5Cgeq+0%7D%7D+%5Cright.+%5C%3B++%5Cleft+%5C%7B+%7B%7B%28x-3%29%28x%2B3%29+%5Cleq+0%7D+%5Catop+%7Blog_%7B%5Cfrac%7B1%7D%7B3%7D%7Dx+%5Cgeq+log_%7B%5Cfrac%7B1%7D%7B3%7D%7D1%7D%7D+%5Cright.++%5Cleft+%5C%7B+%7B%7Bx%5Cin+%5B-3%2C3%5D%7D+%5Catop+%7Bx%5Cin+%28-%5Cinfty%2C1%5D%2Cx%3E0%7D%7D+%5Cright.+%5C%3B+%5Cto+%5C%3B+x%5Cin%280%2C1%5D%5C%5C%5C%5Cb%29%5C%3B++%5Cleft+%5C%7B+%7B%7Bx%5E2-9+%5Cgeq+0%7D+%5Catop+%7Blog_%7B%5Cfrac%7B1%7D%7B3%7D%7Dx+%5Cleq+0%7D%7D+%5Cright.+%5C%3B++%5Cleft+%5C%7B+%7B%7Bx%5Cin+%28-%5Cinfty%2C-3%5DU%5B3%2C%2B%5Cinfty%29%7D+%5Catop+%7Bx%5Cin+%5B1%2C%2B%5Cinfty%29%2Cx%3E0%7D%7D+%5Cright.+%5C%3B+%5C%3B+%5Cto+%5C%3B+%5C%3B+x%5Cin+%5B3%2C%2B%5Cinfty%29%0A)
0\\\\a)\; \left \{ {{x^2-9 \leq 0} \atop {log_{\frac{1}{3}}x \geq 0}} \right. \; \left \{ {{(x-3)(x+3) \leq 0} \atop {log_{\frac{1}{3}}x \geq log_{\frac{1}{3}}1}} \right. \left \{ {{x\in [-3,3]} \atop {x\in (-\infty,1],x>0}} \right. \; \to \; x\in(0,1]\\\\b)\; \left \{ {{x^2-9 \geq 0} \atop {log_{\frac{1}{3}}x \leq 0}} \right. \; \left \{ {{x\in (-\infty,-3]U[3,+\infty)} \atop {x\in [1,+\infty),x>0}} \right. \; \; \to \; \; x\in [3,+\infty)
" alt="(x^2-9)log_{\frac{1}{3}}x \leq 0\; ,\; OOF:\; x>0\\\\a)\; \left \{ {{x^2-9 \leq 0} \atop {log_{\frac{1}{3}}x \geq 0}} \right. \; \left \{ {{(x-3)(x+3) \leq 0} \atop {log_{\frac{1}{3}}x \geq log_{\frac{1}{3}}1}} \right. \left \{ {{x\in [-3,3]} \atop {x\in (-\infty,1],x>0}} \right. \; \to \; x\in(0,1]\\\\b)\; \left \{ {{x^2-9 \geq 0} \atop {log_{\frac{1}{3}}x \leq 0}} \right. \; \left \{ {{x\in (-\infty,-3]U[3,+\infty)} \atop {x\in [1,+\infty),x>0}} \right. \; \; \to \; \; x\in [3,+\infty)
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