SME
Grade 11 Math
Function operations, composition and inverses
The main lesson, then each kind of problem it solves.
Function operations, composition and inverses
Main lesson
Add, subtract, multiply and divide functions
Use this for “f(x) = 2x − 1 and g(x) = x + 4. Find (f + g)(3), (f − g)(3), (f · g)(3) and (f ÷ g)(3).”
The inverse of a linear function
Use this for “Find f⁻¹(x) for f(x) = 3x − 6, and check f⁻¹(f(x)) = x.”
Inverse on a restricted domain
Use this for “f(x) = 2(x − 1)² + 3 for x ≥ 1. Find f⁻¹(11) and f⁻¹(x).”