Calculus help please, I can't figure this out?

Question

Please can some one help me with this problem it would be greatly appreciated. Please show work.

Let u(x) be an always positive function such that u'(x)<0 for all real numbers.
(A) Let F(x)=[u(x)]squared. For what values of x will f(x) be increasing?
(B) Let g(x)=u(u(x)). For what values of x will g(x) be increasing?

Thank you for helping. My college life depends on it.

Answer 1

A) I suppose that F and f are the same function
f' (x) = 2*u(x) *u´(x) .As u(x) is always positive f´(x)<0 so f(x)never will be increasin

b) g´(x) = u´(u(x))*u´(x) (chain rule) As u´<0 for every real number
each factor is negatif and the product positive so g(x) is always increasing

Answer 2

(A) x>=0
(B) All values