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This document discusses combining functions through addition, subtraction, multiplication, and composition. It provides examples of determining the domains of combined functions and decomposing composite functions. Specifically, it examines the domains when adding, subtracting, multiplying, or composing two or more functions, demonstrating the process with examples of determining the resulting domain for each type of combined function.
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2 6 Bzca5e
- 1. Section 2.6 Combinations of Functions: Composite Functions
- 2. The Domain of a Function
- 4. Domains of Other Functions
- 5. Example
- 6. Example
- 7. The Algebra of Functions
- 10. Continued on next slide Determining Domains When Adding or Subtracting Functions
- 11. Continuation of the same problem.
- 12. Determining Domains when Multiplying Functions
- 13. Example
- 14. Example
- 15. Example
- 16. Example
- 20. Example
- 21. Example
- 24. Example
- 25. Example
- 26. (a) (b) (c) (d)
- 27. (a) (b) (c) (d)
- 28. (a) (b) (c) (d)