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IGCSE Additional Math1.3. Use function notationTopic Practice

1.3. Use function notation

CAIE IGCSE Additional Math 1.3. Use function notation question practice helps you revise this syllabus point with the course map in view. Use this page to focus on one topic, check the style of questions available, and connect each attempt back to the knowledge area it is testing.

EduNinja keeps Additional Math practice aligned to CAIE, so you can move from topic review into exam-style question bank work without losing the syllabus structure. Start with a small set, mark the weak steps, then return to nearby topic links when a definition, graph, calculation, or explanation needs repair.

Question 6(a)

[Maximum number: 5]

It is given that

f:x2x2 for x0g:x2x+1 for x0\begin{aligned} & f: x \rightarrow 2 x^{2} \text { for } x \geqslant 0 \\ & g: x \rightarrow 2 x+1 \text { for } x \geqslant 0 \end{aligned}

Each of the expressions in the table can be written as one of the following.

ffggfggff2g2f1g1f^{\prime} \quad f^{\prime \prime} \quad g^{\prime} \quad g^{\prime \prime} \quad f g \quad g f \quad f^{2} \quad g^{2} \quad f^{-1} \quad g^{-1}

Complete the table. The first row has been completed for you.

Table
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