Compose yourself! Learners first use given graphs of functions f and g to graph the composition function f(g(x)) and identify its value for a specific input. They then consider functions for which f(g(x)) = g(f(x)).

Concepts

compositions, composite functions, inverse functions

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Additional Tags

math

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Instructional Ideas

• Use the questions as part of the quiz
  

Classroom Considerations

• Pupils must already be familiar with the composition of functions
• Scholars should be able to read graphs
  

Pros

• Includes explanations for solutions in a separate file
• Provides a printable worksheet
  

Cons

• Answer key does not provide a required graph
  

Common Core

HSF-BF.A.1.c