We have determined that

$\underset{x{6}^{-}}{lim}f(x)=36c+54$ and $\underset{x{6}^{+}}{lim}f(x)=216-6c$

We can use these to solve for $c.$

$\underset{x{6}^{-}}{lim}f(x)=\underset{x{6}^{+}}{lim}f(x)$

$36c+54=$

$c=$

Therefore, for what value of the constant $c$ is the function continuous on $(-,)?$

$c=$

$$