Common Core · High school
HSF-BF.A.1
High school — Write a function that describes a relationship between two quantities.
The skill that covers it
What a student should be able to do
- Evaluate (f ∘ g)(a) and (g ∘ f)(a) from function rules and from tables, and explain why the order matters.
- Write f(g(x)) as a single simplified expression when the outer function is not linear.
- State the domain of a composition by tracking the restrictions of both functions.
- Decompose a function into an outer and an inner function, and model a two-stage situation with a composition.