This algebra 2 and precalculus video tutorial provides an introduction basic overview / review on composite functions that contain fractions and radicals such as square root functions. It explains how to find the domain of a composition of functions and how to express it using interval notation and a number line. It also shows you how to determine if two functions are inverses of each other. This video contains plenty of examples and practice problems.

Here is a list of topics:

1. Composition of Functions - (f o g)(x), f(g(x)), and g(f(x))

2. Composite Functions With Square Roots - Finding the Domain

3. Radical Functions & Inequalities - Using Number Lines & Interval Notation

4. Composition Functions With Fractions - No Zero in the Denominator - Undefined Situation

5. Input and Output Functions - f(x) and g(x)

6. Open vs Closed Circles on Number Lines

7. Brackets vs Parentheses - Domain & Interval Notation

8. All real number situations

9. How to find the inverse of f(x)

10. How to determine if two functions are inverses of each other

11. reflection over line y=x, inverse function f^-1(x)

12. composition of functions - algebra 2 and precalculus

13. graphing the inverse function,

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