Inverse Functions – Domain & range- With Fractions, Square Roots, & Graphs

This algebra video tutorial explains the concept behind inverse functions. It shows you how to find the inverse function and how to express the domain and range using interval notation. It includes examples and practice problems that contain fractions, square roots, and graphs. This video is for students taking algebra 2, precalculus or calculus.

Here is a list of topics:
1. How to the inverse of a linear function
2. Inverse of Rational Functions – Fractions
3. Factoring out the GCF / Greatest Common Factor to Solve for y
4. Inverse Functions With Radicals – Square Roots & Cube Roots
5. Switching X and Y to find the inverse function
6. Inverse function notation – f^-1(x) and f(x)
7. How to determine if two functions are inverses of each other using composition of functions – f(g(x)) and g(f(x))
8. Inverse of logarithmic and exponential functions
9. Graphing inverse functions – reflection about the line y=x
10. Finding the graph of the inverse function by switching the x and y coordinates
11. horizontal line test for inverse functions – one to one
12. vertical line test for functions
13. Inverse functions – logarithms – lnx and e^x – logs & ln
14. Domain and Range of Inverse functions – interval notation

Introduction to Functions: https://www.youtube.com/watch?v=DrEXTC6mIO8
Evaluating Functions: https://www.youtube.com/watch?v=HyNie_PYgsY
Function Operations: https://www.youtube.com/watch?v=3gaxVHVI4cI
Increasing and Decreasing Functions: https://www.youtube.com/watch?v=Dyl7jPlJXOM
Relative Maximum and Minimum Values: https://www.youtube.com/watch?v=GaltHJF6WyI
Relations and Functions: https://www.youtube.com/watch?v=wbBY2tTqXDA
Domain and Range From a Graph: https://www.youtube.com/watch?v=KirGQOwjBVI
How To Find The Domain of a Function: https://www.youtube.com/watch?v=djT6-YamHaA
Average Rate of Change of a Function: https://www.youtube.com/watch?v=f_Q0qlwlclQ
The Difference Quotient of a Function: https://www.youtube.com/watch?v=qQgVomi8lCc
Evaluating Piecewise Functions: https://www.youtube.com/watch?v=OYOXMyFKotc
Graphing Piecewise Functions: https://www.youtube.com/watch?v=Uzw9tsGq2Pw
Composite Functions: https://www.youtube.com/watch?v=ZFPkQkURSxk
How To Evaluate Composite Functions: https://www.youtube.com/watch?v=6vQxIG4lJ3w
Evaluating Composite Functions – Data Table: https://www.youtube.com/watch?v=6vQxIG4lJ3w
Composition of 3 Functions With Data Table: https://www.youtube.com/watch?v=Ote1KvW6BXw
Decomposing Functions: https://www.youtube.com/watch?v=NmfaC7etZms
Introduction to Inverse Functions: https://www.youtube.com/watch?v=TN4ybFiuV3k
How To Find The Inverse of a Function: https://www.youtube.com/watch?v=2zeYEx4eTdc
Verifying Inverse Functions: https://www.youtube.com/watch?v=6QamgSPprjA
Horizontal Line Test – One to One Functions: https://www.youtube.com/watch?v=6u9Qh1Vi_Qw
Vertical Line Test: https://www.youtube.com/watch?v=Mxe2lX1htNk
Graphing Inverse Functions: https://www.youtube.com/watch?v=ukEtad_aml4
Composite Functions and Inverse Functions: https://www.youtube.com/watch?v=GEgFmxxOJno
Even and Odd Functions: https://www.youtube.com/watch?v=fKyBOLsqRlo
Transformations of Functions: https://www.youtube.com/watch?v=Tmdrjs9xufc
Linear Functions: https://www.youtube.com/watch?v=BtcKotD6Ni8
The Weird Graph of Y = X^X: https://www.youtube.com/watch?v=Bnp1-Xd-Eo4
Functions and Graphs – Practice Problems: https://www.youtube.com/watch?v=kvU9sOzT2mk
Functions – Practice Problems: https://www.youtube.com/watch?v=1xATmTI-YY8

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