Question:

If f:RRf:R\to R is defined by f(x)=x23x+2,findf(f(x)).f(x)=x^2-3x+2,find \,f(f(x)).

Updated On: Aug 23, 2023
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Solution and Explanation

It is given that f:RRisdefinedasf(x)=x23x+2f:R\to R \,is\,defined \,as f(x)=x^2-3x+2.
f(f(x))=f(x23x+2)f(f(x))=f(x^2-3x+2)
(x23x+2)23(x23x+2)+2(x^2-3x+2)^2-3(x^2-3x+2)+2
x4+9x2+46x312x+4x23x2+9x6+2x^4+9x^2+4-6x^3-12x+4x^2-3x^2+9x-6+2
x46x3+10x23xx^4-6x^3+10x^2-3x.

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