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

It is given that f : R → R is defined by 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