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Inverse and Composite Functions

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Question 61

Given that $f (x) = k x + 1$ and $g(x) = x^2$ , where $k\,$ is a constant and $\ne 0,1$

Find $f g (x)$

[2]

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

[2]

Solve $f g (x) = g f (x)$ , giving your answers in terms of $k$

[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 61

Given that $f (x) = k x + 1$ and $g(x) = x^2$ , where $k\,$ is a constant and $\ne 0,1$

Find $f g (x)$

[2]

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

[2]

Solve $f g (x) = g f (x)$ , giving your answers in terms of $k$

[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.