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.

Quick explanation

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

• This point belongs to Functions, especially Functions outcomes.
• You need to be able to 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.
• The key ideas to know are Calculate, Determine, and Show.
• Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.