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Let f :R→ R be defined by f(x) = x2 - 3x + 2. Then the value of f(f(5)) is
1. 90
2. 100
3. 110
4. 80

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Correct Answer - Option 3 : 110

Given:

Let f :R→ R be defined by f(x) = x2 - 3x + 2.

Calculation:

f(f(5)) = f(x2 - 3x + 2)

⇒ (52 - 3 × 5 + 2)2 - 3(52 - 3 × 5 + 2) + 2

⇒ 144 - 36 + 2

⇒ 110

∴ The value of f(f(5)) is 110.

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