Section 1.4 - Arithmetic Operations

This section is about how to add, subtract, multiply, and divide functions.

Addition, subtraction, multiplication, and division are all called arithmetic functions.

1. Adding Functions

When adding functions, you have to add them as two separate quantities

ex. f(x) = (x + 1)
g(x) = (x - 1)

( f + g)(x) = (x + 1) + (x - 1)
= 2x

2. Subtracting Functions

The same principal applies to subtracting functions.

ex. f(x) = (2x - 5)
g(x) = (1 - x)

(f - g)(x) = (2x - 5) - (1 - x)
= 3x - 6

3. Multiplying Functions

Multiplying functions requires the use of FOIL.

ex. f(x) = (3x - 2)
g(x) = (5x + 7)

(fg)(x) = (3x - 2)(5x + 7)
=

4. Dividing Functions

If you are asked to divide two functions, you will also have to state the domain.

ex. f(x) =

g(x) =

(f/g)(x) =

Domain: