Composition of Functions
Composition, bijectivity (injective, surjective, bijective), and inverse functions.
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Learning Objectives
- Compute the composition \(g \circ f\) of two functions.
- Determine whether a function is injective, surjective, or bijective.
- State and apply the condition for a function to have an inverse.
- Compute the inverse of a bijection and relate its graph to the original.
About This Course Unit
How to combine functions (composition), the conditions under which a function can be reversed (bijectivity), and the inverse function.