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Inverse and Composite Functions

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Question 74

Given that $f (3) = 2$ , $f−1(x)=x+42\displaystyle f^{-1}(x) = \frac{x + 4}{2}$ and $g (x) = 3 x + 5$

Find $g f (3)$

[2]

Work out an expression for $f (x)$

[2]

Verify that $f (- 9) = g (- 9)$

[2]

Markscheme

Inverse and Composite Functions Questions

GCSE
Maths
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.

Inverse and Composite Functions

Question bank

Inverse and Composite Functions

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Question 74

Given that $f (3) = 2$ , $f−1(x)=x+42\displaystyle f^{-1}(x) = \frac{x + 4}{2}$ and $g (x) = 3 x + 5$

Find $g f (3)$

[2]

Work out an expression for $f (x)$

[2]

Verify that $f (- 9) = g (- 9)$

[2]

Markscheme

Inverse and Composite Functions Questions

GCSE
Maths
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.