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Inverse and Composite Functions

Inverse and Composite Functions

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Question 71

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]
d.

Hence solve f(x+1)=g(x+1)f(x + 1) = g(x + 1)f(x+1)=g(x+1)

[2]
Markscheme

Inverse and Composite Functions Questions

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

136 exam-style questions on OCR 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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