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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 :

$\mathbf{R}-\left\{-\frac{7}{4}\right\}$
$\mathbf{R}$
$\mathbf{R}-\left\{-\frac{5}{2},-\frac{7}{4}\right\}$
$\mathbf{R}-\left\{-\frac{5}{2}\right\}$

Solution

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