Let

f$($x$,$y$)=$x$24$x$+$y$2+9$f$($x$,$ y$)=$ x$^2-4$x $+$ y$^2+9$f$($x$,$y$)=$x$24$x$+$y$2+9$

Find the absolute maximum and absolute minimum of f$($x$,$y$)$f$($x$,$ y$)$f$($x$,$y$)$ restricted to the domain

$4$x$2+9$y$236\mathrm{.}4$x$^2+9$y$^2\backslash$leq $36\mathrm{.}4$x$2+9$y$236.$

What is the sum of the absolute maximum and absolute minimum?