MonotonicityHard
Question
Let f and g be two functions defined on an interval I such that f(x) ≥ 0 and g(x) ≤ 0 for all x ∈ I and f is strictly decreasing on I while g is strictly increasing on I then -
Options
A.the product function fg is strictly increasing on I
B.the product function fg is strictly decreasing on I
C.fog(x) is monotonically increasing on I
D.fog(x) is monotonically decreasing on I