Operations on Functions

In this section, we learn how to perform operations on functions. We begin by defining a polynomial function. We then learn how to evaluate a given function for a specific input. For example, if we see f(x) = 5x + 3, we could ask what is the function’s value when x is 5 with: f(5) = 5(5) + 3 = 28. We will then cover some operations with polynomial functions. We will learn how to add two or more polynomial functions, along with how to subtract polynomial functions. (f + g)(x) = f(x) + g(x) and (f - g)(x) = f(x) - g(x). Additionally, we will learn how to multiply and divide polynomial functions. (f • g) (x) = f(x) • g(x) and (f/g)(x) = f(x)/g(x).