第 1 題
1 分Given the function \(f(x) = 4x - 3\), find the inverse function \(f^{-1}(x)\).
Pearson Edexcel IGCSE · Mathematics (Specification B)
函數、記法、定義域與值域：練習題
4 條多項選擇題即時批改，另有 3 條文字題附完整解題步驟，全部圍繞「函數、記法、定義域與值域」。
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第 2 題
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 題
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 題
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 題
2 分Given the function \(f(x) = \frac{12}{x-3}\), state which value of \(x\) must be excluded from the domain of \(f\).
先自己寫一次答案，再對照解題步驟。
第 6 題
3 分The function \(g\) is defined as \(g(x) = 5x + 2\). Find the inverse function \(g^{-1}(x)\).
先自己寫一次答案，再對照解題步驟。
第 7 題
5 分The variable \(y\) is inversely proportional to the square of \(x\). When \(x = 3\), \(y = 4\). Find the value of \(y\) when \(x = 6\).
先自己寫一次答案，再對照解題步驟。
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