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Precalculus

Precalculus. Chap 1.8 Combination and composite functions. Arithmetic Combination of Functions. Here is an arithmetic combination of numbers :. Here is an arithmetic combination of functions :. Arithmetic Combination of Functions.

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Precalculus

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  1. Precalculus Chap 1.8 Combination and composite functions

  2. Arithmetic Combination of Functions Here is an arithmetic combination of numbers: Here is an arithmetic combination of functions:

  3. Arithmetic Combination of Functions Let f and g be two functions. The following are arithmetic combinations of the functions:

  4. Example Given the following functions f and g Find the indicated combination.

  5. Example Given the following functions f and g Find the indicated combination.

  6. Example Given two functions, find the following combinations.

  7. Domain of Combination Function The domain of the combination of two or more functions will be the intersection of the domains of the individual functions except where a special restriction needs to apply (such as divide by zero). Domain: Domain: Intersection of Domains:

  8. Domain of Combination Function Domain: Domain: Intersection of Domains: Domain? Domain?

  9. Composition of 2 Functions … 9 • Is a function of a function • Uses the output of the inner function as the input of the outer function • Has two notations that mean the same:

  10. Composition of Functions Given two functions Find the following:

  11. Composition of Functions Given two functions, find the following composite values:

  12. Domain of a Composite Function Look at the domains of both functions individually, and then how the functions are composed. Domain of g: Domain of f:

  13. Decomposition of Functions Break up a composite function into its individual parts. Decompose function h into two functions so that

  14. Assignment Chap 1.8 #1, 3, 7, 11, 13, 15, 19, 23, 31, 33, 37, 41, 45, 47, 51

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