已知a∈R,函数f(x)=ln(x+1)-x
2+ax+2.
(1)若函数f(x)在[1,+∞)上为减函数,求实数a的取值范围;
(2)令a=-1,b∈R,已知函数g(x)=b+2bx-x
2.若对任意x
1∈(-1,+∞),总存在x
2∈[-1,+∞),使得f(x
1)=g(x
2)成立,求实数b的取值范围.
考点分析:
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