Difficult
Let $f$ and $g$ be two differentiable functions on $R$ such that $f'(x) > 0$ and $g'(x) < 0$ for all $x \in R$. Then for all $x$,which of the following is true?
- A$f(g(x)) > f(g(x-1))$
- B$f(g(x)) > f(g(x+1))$
- C$g(f(x)) > g(f(x-1))$
- D$g(f(x)) < g(f(x+1))$
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