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Question

Let f:RR:f(x)=(x23x+2). Find fof(x).

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Solution

fof(x)=f[f(x)]=f(x23x+2)

fof(x)=(x23x+2)23(x23x+2)+2

fof(x)=x4+9x2+46x312x+4x23x2+9x6+2

fof(x)=x46x3+10x23x

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