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Name: Date Topic : Composition of Functions Worksheet 1 Using f(x) 4x + 3 and g(x) x 2,find: 1. f(g(5)) 2. g(f(6)) 3. f(f(7)) 4. g(f(x)) Using f(x) 6x and g(x) 14x + 4 find: 5. (f g)(x) 6. (g f)(x).

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  1. Press the 'Get Form' button to access the worksheet and open it in your preferred editing program.
  2. Begin by entering your name in the designated field to identify your work.
  3. Input the current date in the section provided. This helps to keep track of when the worksheet was completed.
  4. Read through each problem carefully. Each question requires you to find the composition of the given functions, such as f(g(5)).
  5. For each function composition, substitute the required values into the respective functions. Show your calculations clearly for each problem.
  6. Ensure you complete all the problems, paying attention to whether you are asked to analyze if the compositions yield the same results.
  7. Once you have completed the worksheet, review your answers and calculations for accuracy.
  8. Finally, save your completed worksheet, and choose to download, print, or share the form as needed.

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"Function Composition" is applying one function to the results of another. (g º f)(x) = g(f(x)), first apply f(), then apply g() We must also respect the domain of the first function. Some functions can be de-composed into two (or more) simpler functions.

1:25 9:51 Suggested clip Function Operations & Compositions - YouTubeYouTubeStart of suggested clipEnd of suggested clip Function Operations & Compositions - YouTube

The domain of a composite function f(g(x)) f ( g ( x ) ) is the set of those inputs x in the domain of g for which g(x) is in the domain of f .

The notation used for the composition of functions looks like this, (f g)(x). So what does this mean (f g)(x), the composition of the function f with g is defined as follows: (f g)(x) = f(g(x)), notice that in the case the function g is inside of the function f.

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