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

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