Let f :R→ R be defined by f(x) = x 2- 3x + 2. Then the value of f(f(5)) is

Explanation

Given: Let f :R→ R be defined by f(x) = x 2 - 3x + 2. Calculation: f(f(5)) = f(x 2 - 3x + 2) ⇒ (5 2 - 3 × 5 + 2) 2 - 3(5 2 - 3 × 5 + 2) + 2 ⇒ 144 - 36 + 2 ⇒ 110 ∴ The value of f(f(5)) is 110.