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If \(f(x) = 2x^2 - 5x + 3\), find f(x + 1).

Mathematics
JAMB 1989

If \(f(x) = 2x^2 - 5x + 3\), find f(x + 1).

  • A. 2x2 - x
  • B. 2x2 - x + 10
  • C. 4x2 + 3x + 2
  • D. 4x2 + 3x + 12
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Correct Answer: Option A
Explanation

\(f(x) = 2x^2 - 5x + 3\)

\(f(x + 1) = 2(x + 1)^2 - 5(x + 1) + 3\)

= \(2(x^2 + 2x + 1) - 5x - 5 + 3\)

= \(2x^2 + 4x + 2 - 5x - 2\)

= \(2x^2 - x\)


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