![\frac{18x+36}{4x^{2}-64}=\frac{18(x+2)}{4(x^{2}-16)}](https://tex.z-dn.net/?f=%5Cfrac%7B18x%2B36%7D%7B4x%5E%7B2%7D-64%7D%3D%5Cfrac%7B18%28x%2B2%29%7D%7B4%28x%5E%7B2%7D-16%29%7D)
Теперь решим систему, числитель равен нулю, знаменатель не равен
![\left \{ {{18(x+2)=0} \atop {4(x^{2}-16)\neq 0}} \right.](https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7B18%28x%2B2%29%3D0%7D%20%5Catop%20%7B4%28x%5E%7B2%7D-16%29%5Cneq%200%7D%7D%20%5Cright.)
![18(x+2)=0\\x+2=0\\x=-2](https://tex.z-dn.net/?f=18%28x%2B2%29%3D0%5C%5Cx%2B2%3D0%5C%5Cx%3D-2)
![4(x^{2}-16)\neq 0\\x^{2}-16\neq 0\\(x-4)(x+4)\neq 0\\\\x\neq 4\\x\neq -4](https://tex.z-dn.net/?f=4%28x%5E%7B2%7D-16%29%5Cneq%200%5C%5Cx%5E%7B2%7D-16%5Cneq%200%5C%5C%28x-4%29%28x%2B4%29%5Cneq%200%5C%5C%5C%5Cx%5Cneq%204%5C%5Cx%5Cneq%20-4)
Получаем точки -4 -2 4
Область определения или D(f)=(-∞;-4)∪(-4;2]∪[2;4)∪(4;+∞)
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18−<span>5<span>(<span>+3</span>)</span></span></span>><span>1−<span>7</span></span></span><span><span>18−<span>5<span>(<span>x+3</span>)</span></span></span>><span>1−<span>7x</span></span></span></span><span><span><span><span>18−<span>5</span></span>−15</span>><span>1−<span>7</span></span></span><span><span><span>18−<span>5x</span></span>−15</span>><span>1−<span>7x</span></span></span></span><span><span><span>3−<span>5</span></span>><span>1−<span>7</span></span></span><span><span>3−<span>5x</span></span>><span>1−<span>7x</span></span></span></span><span><span><span><span><span>−5</span></span>+<span>7</span></span>><span>1−3</span></span><span><span><span><span>−5</span>x</span>+<span>7x</span></span>><span>1−3</span></span></span><span><span><span>2</span>><span>−2</span></span><span><span>2x</span>><span>−2</span></span></span>x> - 1 <span><span>>−1
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Y є R
y (больше-равно) 0
P.S. первый рисунок
x є R
2x (меньше-равно) 13
x = 13/2
x = 6.5
P.S. второй и третий рисунки