Question 25
Let $f(x)=x^2+6x+1,$ and let $R$ denote the set of points $(x,y)$ in the coordinate plane such that $$
f(x)+f(y)\le0
$$ and $$
f(x)-f(y)\le0.
$$ The area of $R$ is closest to
f(x)+f(y)\le0
$$ and $$
f(x)-f(y)\le0.
$$ The area of $R$ is closest to