Lemmara logoLemmaraWorked solution

4024/12 May/Jun 2022, Question 18: Inverse Functions

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 2 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Given f(x) = 3x − 7, find the inverse function f⁻¹(x).

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 2 marks

  1. 1y = 3x − 7
  2. 2y + 7 = 3x
  3. 3x = (y + 7)/3
  4. 4f⁻¹(x) = (x + 7)/3

Answer(x + 7)/3

Stuck on a step? Read the free lesson: Inverse Functions

Practise more inverse functions questions

Real 4024 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on inverse functions

Also searched as: 4024/12/M/J/22 · 4024_s22_qp_12 · 4024 s22 12 · question 18.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.