JEE Math Practice Question

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

1. A.$$\mathbf{R}-\left\{-\frac{7}{4}\right\}$$
2. B.$$\mathbf{R}$$
3. C.$$\mathbf{R}-\left\{-\frac{5}{2},-\frac{7}{4}\right\}$$
4. D.$$\mathbf{R}-\left\{-\frac{5}{2}\right\}$$