4MA1/2HR Jun 2024, Question 17: Composite Functions
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Given f(x) = x/(2x − 4) and g(x) = 3x + 1, use fg(k) = 2 to work out the value of k.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1g(k) = 3k + 1, so fg(k) = (3k + 1) ÷ (2(3k + 1) − 4) = (3k + 1)/(6k − 2)
- 2Set it equal to 2: 3k + 1 = 2(6k − 2) = 12k − 4
- 35 = 9k, so k = 5/9
Answer5/9
Stuck on a step? Read the free lesson: Composite Functions
Practise more composite functions questions
Real 4MA1 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 composite functions
Also searched as: 4MA1 2HR June 2024 · 4MA1/2HR · 4ma1 jun24 2hr · question 17.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.