0580/22 May/Jun 2023, Question 14: Inverse Functions
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Given f(x) = 5x + 2, 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
- 1y = 5x + 2
- 2Swap: x = 5y + 2
- 35y = x − 2
- 4f⁻¹(x) = (x − 2)/5
Answer(x − 2)/5
Stuck on a step? Read the free lesson: Inverse Functions
Practise more inverse functions questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on inverse functions
Also searched as: 0580/22/M/J/23 · 0580_s23_qp_22 · 0580 s23 22 · question 14.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.