第 1 题
1 分Given the function \(f(x) = 4x - 3\), find the inverse function \(f^{-1}(x)\).
Pearson Edexcel IGCSE · Mathematics (Specification B)
Functions：练习题
4 道选择题即时批改，另有 3 道文字题附完整解题步骤，全部围绕「Functions」。
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第 2 题
1 分The function \(f\) is defined by \(f(x) = \frac{2x+3}{x-5}\) for \(x \neq 5\). Find the inverse function \(f^{-1}(x)\).
第 3 题
1 分The variable \(y\) is inversely proportional to the square root of \(x\). When \(x = 16\), \(y = 3\). Find the value of \(x\) when \(y = 2\).
第 4 题
1 分Find the coordinates of the points of intersection of the line \(y = 3x - 1\) and the curve \(y = x^2 + x - 9\).
第 5 题
2 分Given the function \(f(x) = \frac{12}{x-3}\), state which value of \(x\) must be excluded from the domain of \(f\).
先自己写一遍答案，再对照解题步骤。
第 6 题
3 分The function \(g\) is defined as \(g(x) = 5x + 2\). Find the inverse function \(g^{-1}(x)\).
先自己写一遍答案，再对照解题步骤。
第 7 题
5 分The variable \(y\) is inversely proportional to the square of \(x\). When \(x = 3\), \(y = 4\). Find the value of \(y\) when \(x = 6\).
先自己写一遍答案，再对照解题步骤。
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