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Inverse and Composite Functions

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Question 23

Given that f(x)=2x−4f(x) = 2x - 4f(x)=2x−4 and g(x)=3x+5g(x) = 3x + 5g(x)=3x+5

a.

Find gf(3)gf(3)gf(3)

[2]
b.

Work out an expression for f−1(x)f^{-1}(x)f−1(x)

[2]
c.

Solve f(x)=g(x)f(x) = g(x)f(x)=g(x)

[2]

Inverse and Composite Functions Questions

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

Practise OCR GCSE Maths Inverse and Composite Functions with exam-style questions for Foundation and Higher tier. 36 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers 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