Answer
The simplified form of the given function is $-\frac{\left( x+5 \right)}{\left( x+3 \right)}$
Work Step by Step
Let us consider the function $\frac{x+1}{x+3}-2$.
And simplify it as follows:
$\begin{align}
& \frac{x+1}{x+3}-2=\frac{\left( x+1 \right)-2\left( x+3 \right)}{x+3} \\
& =\frac{x+1-2x-6}{x+3} \\
& =\frac{-x-5}{x+3} \\
& =-\frac{\left( x+5 \right)}{\left( x+3 \right)}
\end{align}$
Thus, the simplified form of the given expression is $-\frac{\left( x+5 \right)}{\left( x+3 \right)}$.
