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4024/11 Oct/Nov 2024, Question 22: Functions as a Mapping

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

For f(x) = 3x² + 5, evaluate f(−1) and solve the equation f(2x) = 17 for x.

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Part (a) · 1 mark

Substitute x = −1 into 3x² + 5 and calculate the value.

  1. 1f(−1) = 3 × (−1)² + 5 = 8

Answer8

Part (b) · 3 marks

Form 3(2x)² + 5 = 17 and solve for x.

  1. 13(2x)² + 5 = 17
  2. 212x² = 12
  3. 3x² = 1 so x = 1 or −1

Answer1 or −1

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Also searched as: 4024/11/O/N/24 · 4024_w24_qp_11 · 4024 w24 11 · question 22.
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