已知函數(shù)f(x)=x/ax+b(a,b為常數(shù),且a≠0),滿足f(2)=1,f(x)=x有唯一解,求函數(shù)f(x)的解析式_,f[f(-3)]=_.
已知函數(shù)
f(x)=(a,b為常數(shù),且a≠0),滿足f(2)=1,f(x)=x有唯一解,求函數(shù)f(x)的解析式______,f[f(-3)]=______.
優(yōu)質(zhì)解答
f(x)==x,整理得ax
2+(b-1)x=0,有唯一解
∴△=(b-1)
2=0①
f(2)=
=1,②
①②聯(lián)立方程求得a=
,b=1
∴
f(x)=f(-3)=6,∴f[f(-3)]=f(6)=
故答案為
f(x)=,
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