Pearson Edexcel IGCSE · Mathematics (Specification B)

Functions: Practice Questions

4 multiple-choice questions marked as you go, and 3 written questions with worked solutions. All on Functions.

7 questions14 marksFree, no account

Question 1

1 mark

Given the function \(f(x) = 4x - 3\), find the inverse function \(f^{-1}(x)\).

Question 2

1 mark

The function \(f\) is defined by \(f(x) = \frac{2x+3}{x-5}\) for \(x \neq 5\). Find the inverse function \(f^{-1}(x)\).

Question 3

1 mark

The variable \(y\) is inversely proportional to the square root of \(x\). When \(x = 16\), \(y = 3\). Find the value of \(x\) when \(y = 2\).

Question 4

1 mark

Find the coordinates of the points of intersection of the line \(y = 3x - 1\) and the curve \(y = x^2 + x - 9\).

Question 5

2 marks

Given the function \(f(x) = \frac{12}{x-3}\), state which value of \(x\) must be excluded from the domain of \(f\).

Write your answer out first, then check it against the worked solution.

Question 6

3 marks

The function \(g\) is defined as \(g(x) = 5x + 2\). Find the inverse function \(g^{-1}(x)\).

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Question 7

5 marks

The variable \(y\) is inversely proportional to the square of \(x\). When \(x = 3\), \(y = 4\). Find the value of \(y\) when \(x = 6\).

Write your answer out first, then check it against the worked solution.

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