Cambridge IGCSE Mathematics practice

exam practice - Understand the concept of functions, including their domain and range, and use function notation such as f(x) = 3x - 5, g(x) = 5/2, and h(x) = 2x + 3. Learn to determine inverse functions and create composite functions, for example, if f(x) = 3x + 5 and g(x) = x + 2, find fg(x) and gf(x) = g(f(x)). Provide answers as fractions in simplest form. Note that finding the domains and ranges of composite functions is not required. This topic may also involve mapping diagrams. - Functions

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At a glance

Paper

Marks

Topic

Functions

Exam-style question

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Paper 2Core or Extended Mathematics2 marks

Functions and Composite Functions

Description

Given the functions f(x) = 3x + 5 and g(x) = x + 2.

a
Calculate Find fg(x).
Your answer
Aim for approximately 2 distinct marking points.
[2]

0 of 1 part answered

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Maths method check

Topic focus: Functions.
Question style: structured_mathematics.
Reasoning demand: reasoning.
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Paper 2Core or Extended Mathematics3 marks

Description

Given the function f(x) = 2x - 3.

a
Determine the inverse function f⁻¹(x).
Your answer
Aim for approximately 3 distinct marking points.
[3]