Composition Of Functions And Invertible Functions
Chapter Name : Relations And Functions |
Sub Topic Code : 104_12_01_04_01 |
Topic Name : Composition Of Functions And Invertible Functions |
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Sub Topic Name : Composition Of Functions And Invertible Functions |
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Introduction
• Instead of passing direct input to a function, we can also input output of some other function, which is known as ‘Composition of Functions’. • Invertible functions are those functions, which exactly reverses the change done by a function. For a function to be invertible it must be bijective.
Pre-Requisites:
Sets, their representation and its types, Cartesian products, relations and functions.
Real Life Question:
Can we have a function that is function of another function?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Relation | Set of ordered pairs. |
| Function | Special type of relation that gives exactly one output for an input. |
| Ordered Pair | A pair of element grouped together in a particular order. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|
Real life uses :
It is used in various types of security systems for coding and decoding.
Practical examples around us
| Examples | Explainations |
|---|
What you learn in Theory:
What is composition of function? What are inverse functions? What is the condition for a function to be invertible?