Composition and Inverse Functions
COMPOSITION AND INVERSE FUNCTIONS
Composition and Inverse Functions
Kimberly Harris
MAT 222 Week 5 Assignment
Instructor: Donna Wall
July 18, 2014
Composition and Inverse Functions In this week’s assignment I am given three Composition and Inverse Functions. Functions gives an opportunity for manipulating experiences using different values. What these values does is to help business owners and others the opportunity to compare rates and dates. Functions can extend independent (x) and dependent (y) variables by graphing the coordinate plane and to create a visual demonstration of the relationship. The three functions that will be used in the following problems are as follows: f(x) = 2x = 5 g(x)= x² – 3 h(x) = 2 – x 3 The first thing I have to do is to compute (f – h)(4). (f – h)(4) = f(4) – h(4) Because of the rules of composition, each function can 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 used to evaluate the problem. f(4) = 13 h(4) = (7 - 4)/3 The same process used for h(4) and f(4). h(4)= 3/3 h(4) = 1 (f - h)(4) = 13 -1 (f - h)(4) = 12 The solution after substituting the values and subtracting. In the next section two pairs of the function has to be composed into each other. The option to find the solution for the function g(x), will be to calculate it and then substitute for the x value in the f(x). What option is used
Composition and Inverse Functions
Kimberly Harris
MAT 222 Week 5 Assignment
Instructor: Donna Wall
July 18, 2014
Composition and Inverse Functions In this week’s assignment I am given three Composition and Inverse Functions. Functions gives an opportunity for manipulating experiences using different values. What these values does is to help business owners and others the opportunity to compare rates and dates. Functions can extend independent (x) and dependent (y) variables by graphing the coordinate plane and to create a visual demonstration of the relationship. The three functions that will be used in the following problems are as follows: f(x) = 2x = 5 g(x)= x² – 3 h(x) = 2 – x 3 The first thing I have to do is to compute (f – h)(4). (f – h)(4) = f(4) – h(4) Because of the rules of composition, each function can 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 used to evaluate the problem. f(4) = 13 h(4) = (7 - 4)/3 The same process used for h(4) and f(4). h(4)= 3/3 h(4) = 1 (f - h)(4) = 13 -1 (f - h)(4) = 12 The solution after substituting the values and subtracting. In the next section two pairs of the function has to be composed into each other. The option to find the solution for the function g(x), will be to calculate it and then substitute for the x value in the f(x). What option is used