题目

Cutting meat production and consumption by 30 percent would help to reduce carbon emissions(排放) and improve health in the most meat-loving nations, scientists said on Wednesday. Using prediction models, British and Australian researchers   1   that improving efficiency, increasing carbon capture and  2   fossil fuel dependence in farming would not be enough to   3    emissions targets. But combining these steps  4   a 30 percent reduction in livestock（家畜）  5   in major meat-producing nations and a similar  6   in meat-eating, would lead to substantial populatio5．已知函数f（x）=ax+$\frac{a-1}{x}$（a∈R），g（x）=lnx．（1）当a=2时，求函数h（x）=f（x）-g（x）的最小值；（2）当a＞0，对任意x≥1，不等式f（x）-g（x）≥1恒成立，求实数a的取值范围．