9514 1404 393
Answer:
g(x) decreasing: (-4, 0)
f(x) ≤ g(x) on [-4, -2] U [2, 3]
Explanation:
I agree with most of your answers.
Any point where there is a horizontal tangent will not be in that interval. That excludes x=-4 and x=0. The "decreasing" interval of g(x) is (-4, 0), with round brackets.
The domain of g is only [-4, 3], so functions f and g can only be compared on their joint domain. f(x) ≤ g(x) on the intervals [-4, -2] U [2, 3].