Question

Suppose f '' and g '' exist and that f and g are concave up for all x. Determine if the following statements are true or false.


(b) f(x) · g(x) is concave up for all x.
False or
True

(c) f(x) − g(x) cannot be concave up for all x.
False or
True

(d) f(g(x)) is concave up for all x.
False or
True

Answer 1

For (b) if f =g = a parabola with a negative vertex, f(x)g(x) would look like so False