Q. 64.0( 6 Votes )

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

Answer :

We have,


f(x) = x2 – 3x + 2


f(f(x)) = f (x2 – 3x + 2)


= (x2 – 3x + 2)2 – 3(x2 – 3x + 2) + 2


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


= x4 – 6x3 + 10x2 – 3x


f(f(x)) = x4 – 6x3 + 10x2 – 3x


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