Honors Precalculus October 24, 2016 Mrs. Agnew Composite Functions

Essential Question Essential Vocabulary How do you perform operations on functions? Essential Vocabulary Function Function Composition Domain

Operations on Functions Adding/Subtracting functions combine like terms Multiplying functions FOIL or distribute functions Divide functions Cancel like terms on top and bottom of fraction

Composition of Functions One function is the input of another function. Plug “inside” function into x in “outside” function.

Domain of Functions The domain of a function includes all of the x values that can be plugged into x. In a composite function, the domain includes restrictions of all functions involved in the composition. (The original functions and the composite.) Guided Practice

Homework: Pages 256-257 # 8, 10, 17, 32, 38, 40, 44