If f: R → R is defined by f(x) = x^2 − 3x + 2, find f (f (x) ).
Answers
Answered by
5
Given that,
f (x) = x² - 3x + 2
Now, 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
#
Answered by
2
hence, f(f(x)) = x⁴ - 6x³ + 10x² - 3x
Similar questions