Suppose that $f(x)$ and $g(x)$ are functions on such that the range of $f$ is $[-5,3]$ , and the range of $g$ is $[-2,1]$ . The range of $f\cdotg$ is $[a,b]$. What is the largest possible value of $b$?
The largest possible values of b is (3)*(1) = 3.
that is wrong...