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About this document
- Pages
- 10 pages
- Price
- $10 one-time, yours to keep
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- Format
- Subject
- Mathematics
This document explains the composition and inverse of functions. It shows how to compute compositions of functions and find inverse functions. It is useful for understanding these concepts.
What's inside
- Definition of composition of two functions
- Examples of computing compositions
- Finding inverse functions
- Graph transformations
- Step-by-step calculations
- Examples of inverse functions
Who it is for: For students of mathematics. (Undergraduate)
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Summary
Functions can be combined to make new functions. Students see how to do this and how to find a function's inverse.
Function composition
It explains how to combine two functions. Students see how to calculate the composition of two given functions.
Graph transformation
It shows how to transform a function's graph. Students see how to move a graph to the right and down.
Inverse of a function
It explains how to find a function's inverse. Students see how to calculate the inverse of two given functions.
Practice questions
It asks students to calculate the composition of two functions. It asks students to find the inverse of two functions.
Key terms
- composition of functions
- Putting the value of one function into the variable spot of the second function.
- inverse of a function
- The function that reverses the effect of the original function.
- graph transformation
- Changing the position of a function's graph.
- domain and range
- The domain is the set of inputs. The range is the set of outputs.
- LCM process
- A method to find a common denominator for fractions.
Questions this document helps with
- How do you combine two functions?
- How do you move a graph to the right?
- How do you find a function's inverse?
Summary written with AI from the document's text.
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