Evaluating Composite Polynomial Functions

00:00 5 marks

  • Build Confidence
  • HL
  • Tier 2
  • Algebraic manipulation
  • Function composition
  • Polynomial substitution

Given the functions \(f(x) = 3x^2 – 2x + 1\) and \(g(x) = x + 4\), evaluate \(f(g(x))\) and simplify your answer.

Hint Hint

Hint

Start by substituting \(g(x)\) into \(f(x)\) and simplify step by step.

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Complete Answer

\(f(g(x)) = 3x^2 + 22x + 41\)

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