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

1.

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

Answer»

Given, f (x) = x² – 3x + 2

Then,

f (f (x)) = f (x² – 3x + 2)

= (x² – 3x + 2)² – 3(x² – 3x + 2) + 2,

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

= x⁴ – 6x³ + 10x² – 3x

Thus,

f (f (x)) = x⁴ – 6x³ + 10x² – 3x

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