Why does maple refuse to find the extremum of a function with an inequality type constraint?

Question

Linear algebra

We need to find the extremum of the function f bounded by the inequality g. Is there any method to solve this problem?

f := (x + y + 2)^2 + 5*y^2;
g := y^2 + 0.1*(x - 0.3*y)^2 - 5;
extrema(f, g <= 0, {x, y}, 's'); s; #Error, (in extrema) invalid arguments