PRACTICE Operations Composition A (1)

School: Florida Virtual School - Course: MATHEMATICS 30 - Subject: Accounting

Practice:Function Operations & Composition Final corrections due: Perform the indicated operation and simplify completely. Show all work to get credit. ࠵?(࠵?) = 10࠵?࠵?(࠵?) = −5࠵?ℎ(࠵?) = 8࠵?(࠵?) = −10 1](࠵? + ࠵?)(࠵?) =2] (࠵? − ࠵?)(࠵?) = 3] (࠵? ∙ ℎ)(࠵?) =4] (࠵? ࠵? ) (࠵?) = 5](ℎ − ࠵?)(5) =6] (࠵? ∙ ࠵?)(−1) = ࠵?(࠵?) = 6࠵? + 4࠵?(࠵?) = 4 − 6࠵?ℎ(࠵?) = 2࠵?࠵?(࠵?) = −2 7](࠵? + ࠵?)(࠵?) =8] (࠵? − ࠵?)(࠵?) = 9](࠵? ∙ ࠵?)(࠵?) = 10] (࠵? ࠵? ) (࠵?) = 11](ℎ − ࠵?) (12) =12] (࠵? ∙ ࠵?) (−1 6 ) = ࠵?(࠵?) = ࠵?2 ࠵?(࠵?) = 10࠵? + 5ℎ(࠵?) = √࠵?࠵?(࠵?) = 5 13](࠵? + ࠵?)(࠵?) =14] (࠵? − ࠵?)(࠵?) = 15](࠵? ∙ ࠵?)(࠵?) = 16] (࠵? ࠵? ) (࠵?) = 17](ℎ + ࠵?)(49) =18] (࠵? ∙ ℎ)(4) =

Use the tables of ordered pairs to determine the value of each composite function. ࠵?(࠵?) = ࠵?࠵? − ࠵?࠵?࠵?(࠵?) = √࠵? ࠵?࠵?(࠵?)࠵? ࠵?(࠵?)19](࠵? ∘ ࠵?)(36) = 1-1411 2-1142 20](࠵? ∘ ࠵?)(16) = 3-693 41164 21](࠵? ∘ ࠵?)(4) = 510255 621366 22](࠵? ∘ ࠵?)(4) = 734497 Use the graph to determine the value of each composite function. 23] (ℎ ∘ ࠵?)(3) = 24](࠵? ∘ ࠵?)(4) = 25](࠵? ∘ ࠵?)(−4) = 26](࠵? ∘ ࠵?)(1) = 27] (࠵? ∘ ℎ)(0) = Use the functions to determine the value of each composite function algebraically. ࠵?(࠵?) = 2࠵?2 ࠵?(࠵?) = 3࠵? − 2ℎ(࠵?) = 3 − 4࠵?࠵?(࠵?) = 6 ࠵? 28](࠵? ∘ ࠵?)(3) =29](ℎ ∘ ࠵?)(12) =30](࠵? ∘ ℎ)(࠵?) =31] (ℎ ∘ ࠵?)(࠵?) = 32] Sally Salesperson sells shoes part time at Super Shoes in the South Street Mall.She earns a 2% commission on total sales over $5,000, which is paid as a bonus at the end of the year. Let her total sales be represented byx.࠵?(࠵?) = ࠵? − 5000and࠵?(࠵?) = 0.02࠵? Which composition of functions would calculate her bonus at the end of the year?(࠵? ∘ ࠵?)(࠵?)or(࠵? ∘ ࠵?)(࠵?)? Explain your reasoning. 33] Sally sold $9,172 in shoes this year. Use composition of functions to calculate her bonus. Show work.