## Precalculus (6th Edition) Blitzer

Convert the function into the form: $\text{Quotient}+\frac{\text{Remainder}}{\text{Divisor}}$. \begin{align} & g\left( x \right)=\frac{2x+7}{x+3} \\ & =2+\frac{1}{x+3} \end{align} Where the quotient is $2$ , the remainder is $1,$ and the divisor is $x+3$. The rational root is \begin{align} & x+3=0 \\ & x=-3 \end{align} The graph has a vertical asymptote along $x=-3$. The graph has a horizontal asymptote along $y=2$.