Operations on Functions

In this lesson, we will learn about operations on functions, which is also known as combining functions. The idea is that two functions f and g can be combined through addition, subtraction, multiplication, and division to form a new function. This process is conducted in a similar way to how we would add, subtract, multiply, and divide real numbers. We emphasized the importance of determining the domain for the new function as the intersection of individual function domains. When dealing with the division of functions such as (f/g), we highlighted the need to further restrict the domain to exclude any x-values that lead to division by zero.