Skip to content

Course home

Inverse and Composite Functions

Inverse and Composite Functions

EasyMediumHard
1234567891011121314151617181920212223
Question 23

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]
Video walkthrough

Inverse and Composite Functions Questions

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

32 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.

Question bank