INTRODUCTION Two functions f and g can be combined in several ways to create new functions. In this section we will examine two such ways in which functions can be combined: through arithmetic operations, and through the operation of function composition.
Arithmetic Combinations Two functions can be combined through the familiar four arithmetic operations of addition, subtraction, multiplication, and division.
DEFINITION 2.6.1 Arithmetic Combinations
If f and g are two functions, then the sum f + g, the difference f − g, the product fg, and the quotient f/g are defined as follows:
EXAMPLE 1 Sum, Difference, ...