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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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2

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Topic

Functions

Exam-style question

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Paper 2Core or Extended Mathematics3 marks

Inverse Functions

Description

Function f

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

  1. a

    Determine the inverse function f⁻¹(x).

    Aim for approximately 3 distinct marking points.

    [3]

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Maths method check

  • Topic focus: Functions.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Functions

Paper 2Core or Extended Mathematics2 marks

Description

Functions f and g

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

  1. a

    Calculate Find fg(x).

    Aim for approximately 2 distinct marking points.

    [2]