f (x)=x^2-3x+2 than f (f (x))=?
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f ( f (x)) = 2 or 1
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if f=R-R is defined by f (x)=x^2-3x+2 than find f (f (x))
The question is asked to find ff(X) not to solve f(X).
Answered by
3
f(X)=x^2-3x+2
ff(X)
=(x^2-3x+2)^2-3(x^2-3x+2)+2
=(x^2-3x+2)(x^2-3x+2)-3x^2+9x-6+2
=x^4-3x^3+2x^2-3x^3+9x^2-6x+2x^2-6x+4-3x^2+9x-6+2
=x^4-6x^3+10x^2-3x
ff(X)
=(x^2-3x+2)^2-3(x^2-3x+2)+2
=(x^2-3x+2)(x^2-3x+2)-3x^2+9x-6+2
=x^4-3x^3+2x^2-3x^3+9x^2-6x+2x^2-6x+4-3x^2+9x-6+2
=x^4-6x^3+10x^2-3x
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