设f(x-1)=x2+1，α＞0，f(α)=17，则α=_____．

设f(x-1)=x²+1，α＞0，f(α)=17，则α=_____．
【正确答案】：3。解析：f(x-1)=x²+1=(x-1+1)²+1 =(x-1)²+2(x-1)+2 所以 f(x)=x²+2x+2 f(α)=α²+2α+2=17 (α＞0) α=3．

↑