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Composition of Functions

Composition of Functions. Example 1. Evaluate. Your turn. Evaluate. Example 4. Find the indicated values for the following functions if:. ENR. Example 5.

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Composition of Functions

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  1. Composition of Functions

  2. Example 1 • Evaluate

  3. Your turn • Evaluate

  4. Example 4 • Find the indicated values for the following functions if:

  5. ENR Example 5 • The number of bicycle helmets produced in a factory each day is a function of the number of hours (t) the assembly line is in operation that day and is given by n = P(t) = 75t – 2t2. • The cost C of producing the helmets is a function of the number of helmets produced and is given by C(n) = 7n +1000. Determine a function that gives the cost of producing the helmets in terms of the number of hours the assembly line is functioning on a given day. Find the cost of the bicycle helmets produced on a day when the assembly line was functioning 12 hours.(solution on next slide)

  6. Solution to Example 5: • Determine a function that gives the cost of producing the helmets in terms of the number of hours the assembly line is functioning on a given day. • Find the cost of the bicycle helmets produced on a day when the assembly line was functioning 12 hours. ENR

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