答：g(x)=ax²-2ax+1+b=a(x-1)²+1+b-a抛物线g(x)的对称轴x=1a0时：g(x)在[2,3]上是增函数g(2)=4a-4a+1+b=1g(3)=9a-6a+1+b=4解得：a=1,b=0b=0不符合b>1,a>0的假设不成立综上所述,a=-1,b=3f(x)=g(x)/x=(-x
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