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. \(3(x^{2} - 1)\)
Correct Answer: A. \(2(x^{2} - 1)\)
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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