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Inverse and Composite Functions

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Question 75

Given that $f (x) = 2 x + 1$ and $g(x) = x^2$

Find $f g (x)$

[2]

Work out an expression for $g f (x)$

[2]

Show that the solutions of $f g (x) = g f (x)$ are $x = 0$ and $x = - 2$

[3]

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 75

Given that $f (x) = 2 x + 1$ and $g(x) = x^2$

Find $f g (x)$

[2]

Work out an expression for $g f (x)$

[2]

Show that the solutions of $f g (x) = g f (x)$ are $x = 0$ and $x = - 2$

[3]

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.