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Waec 2010 Further Mathematics Past QuestionsQuestion 1:Find the domain of \(f(x) = \frac{x}{3 - x}, x \in R\), the set of real numbers. A. \({x : x \in R, x \neq 3}\) B. \({x : x \in R, x \neq 1}\) C. \({x : x \in R, x \neq 0}\) D. \({x : x \in R, x\neq -3}\) Question 2:Find the domain of \(f(x) = \frac{x}{3 - x}, x \in R\), the set of real numbers. A. \({x : x \in R, x \neq 3}\) B. \({x : x \in R, x \neq 1}\) C. \({x : x \in R, x \neq 0}\) D. \({x : x \in R, x\neq -3}\) Question 3:Find the value of \(\cos(60° + 45°)\) leaving your answer in surd form. A. \(\frac{6 + \sqrt{2}}{4}\) B. \(\frac{3 + \sqrt{6}}{4}\) C. \(\frac{\sqrt{2} - \sqrt{6}}{4}\) D. \(\frac{3 - \sqrt{6}}{4}\) Question 4:If \(\frac{5}{\sqrt{2}} - \frac{\sqrt{8}}{8} = m\sqrt{2}\), where m is a constant. Find m. A. \(1\frac{1}{2}\) B. \(1\frac{1}{4}\) C. \(2\frac{1}{4}\) D. \(2\frac{1}{2}\) Question 5:If \(16^{3x} = \frac{1}{4}(32^{x - 1})\), find the value of x. A. \(-1\) B. \(\frac{-1}{3}\) C. \(\frac{-3}{7}\) D. \(\frac{-5}{19}\) |
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