Let f: R -{-1/2} → R and g: R -{-5/2} → R be defined as f(x)=(2 x+3)/(2 x+1) and g(x)=(|x|+1)/(2 x+5). Then, the domain of the function fog is:

Let $\displaystyle f: \mathbf{R}-\left\{\frac{-1}{2}\right\} \rightarrow \mathbf{R}$ and $\displaystyle g: \mathbf{R}-\left\{\frac{-5}{2}\right\} \rightarrow \mathbf{R}$ be defined as $\displaystyle f(x)=\frac{2 x+3}{2 x+1}$ and $\displaystyle g(x)=\frac{|x|+1}{2 x+5}$. Then, the domain of the function fog is :