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Inverse and Composite Functions

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Question 7

Given that f(x)=2x+1f(x) = 2x + 1f(x)=2x+1 and g(x)=x2g(x) = x^2g(x)=x2

a.

Find fg(x)fg(x)fg(x)

[2]
b.

Work out an expression for gf(x)gf(x)gf(x)

[2]
c.

Solve fg(x)=gf(x)fg(x) = gf(x)fg(x)=gf(x)

[3]

Inverse and Composite Functions Questions

  1. GCSE
  2. /Maths
  3. /Inverse and Composite Functions

Practise AQA GCSE Maths Inverse and Composite Functions with exam-style questions for Foundation and Higher tier. 36 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank