Study GuidePrecalculus–Functions1.Combining and Composing FunctionsIn mathematics, we can createnew functionsby working with functions we already know.Sometimes this is as simple as adding or subtracting two functions. Other times, we combine them inmore powerful ways, such ascomposition, where one function is placed inside another.1. Arithmetic Combinations of FunctionsThe easiest way to make a new function is by usingbasic arithmetic operations:•Addition•Subtraction•Multiplication•DivisionThese operations are applied directly to the formulas of the functions.Example 1:Let(a) Find ((f-g)(-1))Step 1: Subtract the functionsStep 2: Substitute (x =-1)Preview Mode
This document has 14 pages. Sign in to access the full document!