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Let f and g be two differentiable functi...

Let f and g be two differentiable functions defined on an interval I such that `f(x)>=0` and `g(x)<= 0` for all `x in I` and f is strictly decreasing on I while g is strictly increasing on I then (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

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`

Text Solution

Verified by Experts

The correct Answer is:
A, D
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