Evaluating composite functions

The  exercise appears under the Algebra II Math Mission. This exercise practices composition of functions with multi-stage composition problems.

Types of Problems
There is one type of problem in this exercise:


 * 1) Evaluate the composition of functions: This problem provides several functions and then composes them with each other. The student is asked to find the "final result" from the sequence of compositions.Ecf1.png

Strategies
Knowledge and comfort with operations on functions, specifically composition, is encouraged to ensure success on this exercise.
 * 1) This problem can be done accurately with patience and writing all the details on a separate piece of paper.
 * 2) Efficiency can be attained on this exercise by utilizing a calculator's ANS opportunity to pull previous answers into new calculations.
 * 3) Distributive properties are necessary and common when performing this problem.

Real-life Applications

 * 1) Composition of functions is an operation unique to functions (different from numbers) and has many applications in higher mathematics, for example, the chain rule in Calculus.