$[-/0\mathrm{.}58$ Points$]$

TAMUBUSCALC$11\mathrm{.}3\mathrm{.}012.\frac{0}{6}$ Submissions Used

Consider the following function.

$f(x)=\frac{x^2+2x-3}{(x-1)(x^2+6x+9)}$

$($a$)$ Find the hole$($s$)$ of $f(x).($Round your answer to four decimal places. If there are no holes, enter NONE.$)$

$(x,y)=()$

$($b$)$ Find the vertical asymptote$($s$)$ of $f(x).($Enter your answers as a comma$-$separated list of equations. If there are no vertical asymptotes, enter NONE.$)$

$($c$)$ Find the horizontal asymptote$($s$)$ of $f(x).($Enter your answers as a comma$-$separated list of equations. If there are no horizontal asymptotes, enter NONE.$)$