![image](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B%5Csqrt%7B4x%2B6%7D%7D%7B%5Csqrt%7B3x%2B4%7D%7D%5C%5CO.O.%5CPhi.%3A%5C%5C%5Cbegin%7Bcases%7D4x%2B6%5Cgeq0%5C%5C3x%2B4%3E0%5Cend%7Bcases%7D%5CRightarrow%5Cbegin%7Bcases%7Dx%5Cgeq-1%5Cfrac12%5C%5Cx%3E-1%5Cfrac13%5Cend%7Bcases%7D%5CRightarrow+x%5Cin%5Cleft%28-1%5Cfrac13%3B%5C%3B%2B%5Cinfty%5Cright%29)
0\end{cases}\Rightarrow\begin{cases}x\geq-1\frac12\\x>-1\frac13\end{cases}\Rightarrow x\in\left(-1\frac13;\;+\infty\right)" alt="f(x)=\frac{\sqrt{4x+6}}{\sqrt{3x+4}}\\O.O.\Phi.:\\\begin{cases}4x+6\geq0\\3x+4>0\end{cases}\Rightarrow\begin{cases}x\geq-1\frac12\\x>-1\frac13\end{cases}\Rightarrow x\in\left(-1\frac13;\;+\infty\right)" align="absmiddle" class="latex-formula">