题干

已知f(x)=kx+b,且f(f(x))=4x﹣3,求k和b及f(x).
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答案(点此获取答案解析)

解:由题意,f(x)=kx+b,

可得:f(f(x))=f(kx+b)=k(kx+b)+b=k2x+kb+b.

又由f(f(x))=4x﹣3,

可得 {k2=

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