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Inverse and Composite Functions

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Question 27

The function f f\,f is defined such that

f(x)=4x−1 f(x) = 4x - 1 f(x)=4x−1
a.

Find f−1(x)f^{-1}(x)f−1(x)

[2]
b.

The function g g\,g is defined such that g(x)=kx2g(x) = kx^2g(x)=kx2 where k k\,k is a constant. Given that fg(2)=12fg(2) = 12fg(2)=12, work out the value of kkk.

[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