Inverse and Composite Functions

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The function $f\,$ is such that

\frac{3x - 2}{4}

Find $f (- 7)$

[2]

Express the inverse function $f^{-1}$ in the form $f−1(x)=…f^{-1}(x) = \dots$

[2]

The function $g\,$ is such that

\sqrt{19 - x}

Find $f g (3)$

[3]

Which values cannot be included in any domain of $g$ ?

[2]

Inverse and Composite Functions Questions

Practise Oxford AQA IGCSE Maths Inverse and Composite Functions with exam-style questions for Core and Extended tier. 4 questions, matched to the Oxford AQA IGCSE Maths (9260) specification and written in Paper 1 and Paper 2 (Core: 1C and 2C; Extension: 1E and 2E) style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.