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Inverse and Composite Functions

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Question 44

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 g(2)g(2)g(2).

[2]
c.

Hence, work out the value of kkk.

[2]
Markscheme

Inverse and Composite Functions Questions

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

135 exam-style questions on AQA GCSE Maths Inverse and Composite Functions. Each one has a worked solution and a mark scheme showing where the marks go.

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