Pre-Calculus Function Operations

Objective To perform operations on functions and to determine the domains of the resulting functions.

The sum, difference, product, and quotient of functions.

The Composition Function This is read “f composition g” and means to copy the f function down but where ever you see an x, substitute in the g function.

This is read “g composition f” and means to copy the g function down but where ever you see an x, substitute in the f function.

This is read “f composition f” and means to copy the f function down but where ever you see an x, substitute in the f function. (So sub the function into itself).

Domain when Adding, Subtracting, Multiplying, or Dividing Functions

Domain when Composing Functions

Dart Throw Scoring Board -20 points if the dart does not land inside the square or if it falls on the ground No points if the dart lands in the white region

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Dart Throw Scoring Board -20 points if the dart does not land inside the square or if it falls on the ground No points if the dart lands in the white region

A Challenge Example of Composite Functions Try it !!

g(x) = 2x² + 7x -1

Homework Function Operations WS