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Lesson 1.5 Combination of Functions

Lesson 1.5 Combination of Functions. Arithmetic Combinations. 2 Options: Combine the functions (using “x”) with the given operation Plug in a given value into each function, then perform the given operation. You will be asked to find the Domain and Range of the combined functions. Example

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Lesson 1.5 Combination of Functions

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  1. Lesson 1.5Combination of Functions

  2. Arithmetic Combinations 2 Options: Combine the functions (using “x”) with the given operation Plug in a given value into each function, then perform the given operation You will be asked to find the Domain and Range of the combined functions

  3. Example If f(x) = 2x and g(x) = x + 1, find the following: (f + g)(x) = f(x) + g(x) = (f – g)(x) = f(x) – g(x) = (fg)(x) = f(x) • g(x) =

  4. Composition of Functions Plug the inside function into the outside Notation: (f ο g)(x) = f(g(x)) Again, if given an x value you can work with all numbers.

  5. Example If f(x) = x + 2and g(x) = 4 – x2, find the following: (f οg)(x) = (g οf)(x) = Find both composites when x = 0, 1, 2

  6. Example

  7. Example

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