Composite functions and Inverse functions (new GCSE grade 9-1 content) - 3 LESSONS!

Ideal resource for teaching the new GCSE (Grade 9-1) topic of composite functions and inverse functions. There is enough material for 2 to 3 lessons.

Split into four sections. Each has examples that the teacher can model, questions pupils can practice (+ answers!).

Section 1: Substituting values into functions, e.g. f(-1) when f(x) = 2x - 5
Substituting values into composite functions e.g. fg(2) when f(x) = 2x + 1 and g(x) = 3x - 1

Section 2: Using composite functions, e.g. Work out fg(x) when f(x) = x² + 1 and g(x) = x - 3

Section 3: Solving functions and composite functions, e.g. Solve f(x) = 0 when f(x) = 2x - 7
e.g. Solve f(x) = g(x) when f(x) = x - 5 and g(x) = x² - 2

Section 4 : Using inverse functions, e.g. f¯¹(x) when f(x) = 2x - 1 or f¯¹(x) when f(x) = x/x + 3

Plenty of material for 2 to 3 lessons across these topics -answers to questions included.