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If f : R  R is defined by f(x) = x2 - 3x + 2, find f(f(x)).

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f(x) = x2 - 3x + 2

f.f(x) = (x2 - 3x + 2)2 - 3(x2 - 3x + 2) + 2

= x4 + 9x2 + 4 + 6x3 + 12x + 4x2 - 3x2 - 3x2 - 9x - 6 + 2

= x4 - 6x3 - 10x2 + 3x 

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