algebra_of_functions

# 13 29 29 29 29 29 2 2 2 cost 75 2 7 7 14 525 1000 5 2

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13 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 2 Cost 75 2 7 7 14 525 1000 5 2 1000 C n C P t C t t t t t t = = = - = - = - + + + 7 75 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 to Example 5: ( 29 2 75 2 n P t t t = = - ( 29 7 1000 C n n = + 2 14 525 \$528 0 4 10 0 C t t = - + + = 29 29 ( ( 29 C n C P t

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©1999 by Design Science, Inc. 14 Summary… Function arithmetic – add the functions (subtract, etc) Addition Subtraction Multiplication Division Function composition Perform function in innermost parentheses first Domain of “main” function must include range of “inner” function
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