42х⁵ у² 3
-------- * ----------- = ---------------
у⁴ 14х⁵ у²
<span>(0,003a^2b^3)^3 = </span>0,009 а^6 b^9
Решение смотри в приложении
![g(x)=\frac{2x+4}{x-1}\; \; ,\; \; h(x)=\frac{2x-4}{x-1}\\\\\frac{2x+4}{x-1}=\frac{2x-4}{x-1}\; \; ,\; \; \; x\ne 1\\\\\frac{2x+4}{x-1}-\frac{2x-4}{x-1}=0\\\\\frac{2x+4-2x+4}{x-1}=0\\\\\frac{8}{x-1}=0\; \; \; \Rightarrow \; \; \; x\in \varnothing](https://tex.z-dn.net/?f=g%28x%29%3D%5Cfrac%7B2x%2B4%7D%7Bx-1%7D%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20h%28x%29%3D%5Cfrac%7B2x-4%7D%7Bx-1%7D%5C%5C%5C%5C%5Cfrac%7B2x%2B4%7D%7Bx-1%7D%3D%5Cfrac%7B2x-4%7D%7Bx-1%7D%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20%5C%3B%20x%5Cne%201%5C%5C%5C%5C%5Cfrac%7B2x%2B4%7D%7Bx-1%7D-%5Cfrac%7B2x-4%7D%7Bx-1%7D%3D0%5C%5C%5C%5C%5Cfrac%7B2x%2B4-2x%2B4%7D%7Bx-1%7D%3D0%5C%5C%5C%5C%5Cfrac%7B8%7D%7Bx-1%7D%3D0%5C%3B%20%5C%3B%20%5C%3B%20%5CRightarrow%20%5C%3B%20%5C%3B%20%5C%3B%20x%5Cin%20%5Cvarnothing%20)
Дробь не может равняться 0 ни при каких значениях переменной "х", т.к. в числителе стоит число 8, не зависящее от переменной "х" . ( Дробь = 0, когда числитель = 0, а знаменатель не = 0 .) Поэтому общих точек у графиков не будет .
![P.S.\; \; g(x)=\frac{2x+4}{x-1}\; \; ,\; \; h(x)=\frac{2x-4}{x+1}\\\\\frac{2x+4}{x-1} =\frac{2x-4}{x+1}\; \; ,\; \; \; x\ne \pm 1\\\\\frac{(2x+4)(x+1)-(2x-4)(x-1)}{(x-1)(x+1)}=0\\\\\frac{12x}{(x-1)(x+1)}=0\; \; \; \to \; \; \; 12x=0\; ,\; \; x=0\\\\g(0)=-4\; \; ,\; \; h(0)=-4\\\\tochka\; peresecheniya\; \; A(0,-4)](https://tex.z-dn.net/?f=P.S.%5C%3B%20%5C%3B%20g%28x%29%3D%5Cfrac%7B2x%2B4%7D%7Bx-1%7D%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20h%28x%29%3D%5Cfrac%7B2x-4%7D%7Bx%2B1%7D%5C%5C%5C%5C%5Cfrac%7B2x%2B4%7D%7Bx-1%7D%20%3D%5Cfrac%7B2x-4%7D%7Bx%2B1%7D%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20%5C%3B%20x%5Cne%20%5Cpm%201%5C%5C%5C%5C%5Cfrac%7B%282x%2B4%29%28x%2B1%29-%282x-4%29%28x-1%29%7D%7B%28x-1%29%28x%2B1%29%7D%3D0%5C%5C%5C%5C%5Cfrac%7B12x%7D%7B%28x-1%29%28x%2B1%29%7D%3D0%5C%3B%20%5C%3B%20%5C%3B%20%5Cto%20%5C%3B%20%5C%3B%20%5C%3B%2012x%3D0%5C%3B%20%2C%5C%3B%20%5C%3B%20x%3D0%5C%5C%5C%5Cg%280%29%3D-4%5C%3B%20%5C%3B%20%2C%5C%3B%20%5C%3B%20h%280%29%3D-4%5C%5C%5C%5Ctochka%5C%3B%20peresecheniya%5C%3B%20%5C%3B%20A%280%2C-4%29)