Mat 222 Week 5 Composition And Inverse

Composition and InverseDeanna PatesMAT 222 Week 5 AssignmentKatherine Achacoso02 March 2014Composition and InverseFunctions provide an opportunity for manipulating expressions using different values. These values can help business owners, data analysts, and even the consumer compare rates and data. Functions also extend independent (x) and dependent (y) variables by graphing in the coordinate plane and creating a visual demonstration of the relationship.The following functions will be used in the required problems.f(x) = 2x+5g(x) = x2+3h(x) = (7-x)/3The first task is to compute (f – h)(4). (f – h)(4) = f(4) – h(4) Because of rules of composition, each function may be calculated separately and then subtracted.f(4) = 2(4) + 5 The x was replaced with the 4 from the problem. f(4) = 8 + 5 Order of operations was used to evaluate the function. f(4) = 13h(4) = (7 - 4)/3 The same process is used for h(4) and f(4). h(4) = 3/3 h(4) = 1 (f – h)(4) = 13 – 1 (f – h)(4) = 12This is the solution after