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Given that \(f(x) = 2x^{2} - 3\) and \(g(x) = x + 1\) where \(x...

Further Mathematics
WAEC 2017

Given that \(f(x) = 2x^{2} - 3\) and \(g(x) = x + 1\) where \(x \in R\). Find g o f(x).

  • A. \(2(x^{2} - 1)\)
  • B. \(2x^{2} + 4x - 1\)
  • C. \(2x^{2} + 6x - 1\)
  • D. \(3(x^{2} - 1)\)
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Correct Answer: Option A
Explanation

\(f(x) = 2x^{2} - 3; g(x) = x + 1\)

\(g o f(x) = g (2x^{2} - 3)\)

= \( 2x^{2} - 3 + 1 = 2x^{2} - 2 = 2(x^{2} - 1)\)


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