$[0\mathrm{.}3/0\mathrm{.}58$ Points$]$ TAMUBUSCALC$11\mathrm{.}3\mathrm{.}011.1/6$ Submissions Used

Consider the following function.

$g(x)=\frac{-4(x-6{)}^2(x+4)}{(x-5)(x-6)(x+4)}$

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

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

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