Approximate the function $at$ the given value $ofx,$ using the Taylor polynomial $of$ degree $n=4,$ centered $atc=-3.(Round$ your answer $to$ four decimal places.$)$

$f(x)=\frac{1}{x^2}$

$P_4=\frac{1}{9}+\frac{2}{27}(x+3)+\frac{1}{27}(x+3{)}^2+\frac{4}{243}(x+3{)}^3+\frac{5}{729}(x+3{)}^4$

$f(-2\mathrm{.}9)=$