A student concluded that the solution to the
1 answer:
You might be interested in
Proof with Step-by-step explanation:
Since it is given that f(x) is decreasing thus we infer that
Similarly it is given that g(x) is decreasing thus we infer that
Now let
Differentiating both sides with respect to 'x' and using chain rule of differentiation we get
Now since both f'(x) and g'(x) are both negative(<0) we can infer that their product is always positive (>0)
Thus fog(x) is an increasing function.