Question

设函数f(x)=x^2-x+b,且满足f（log2(a)=b,log2[f(a)]=2(a＞0,a不等于1） 求f(lo

Answer 1

1.f(x)=x^2-x+b,且f[log2(a)]=b所以log2 a)^2-log2 a +b=b log2a(log2a-1)=0,a≠1所以a=2 log2 [f(a)]=2,即log2 f（2）=2 log2 (2+b)=2,所以b=2 f(log2 x)=(log2 x)^2-log2 x+2 =(log2 x-0.5)^2+7/4 当log2 x=0.5,x=...