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已知f(x)=loga(x+1)，点P是函数y=f(x)图象上任意一点，点P关于原点的对称点Q的轨迹是函数y=g(x)的图象． (1)当0＜a＜1时，解不等式：2f(x)+g(x)≥0； (2)当a＞1，x∈[0，1]时，总有f(x)+g(x)≥m恒成立，求m的范围.
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