Basic Operations

Basic Operations

Dividing Functions

To divide functions, put the first function as the numerator of a fraction and the second function as the denominator of a fraction. Simplify if possible. Always define your function; division by zero is not defined. Therefore, values that would create a zero in the denominator are not allowed. This concept will be addressed in more detail in the rational functions unit.

Example 1 Given f(x) = 3x – 5 and g(x) = 6x + 5, find f(x) ÷ g(x).

Step 1. Put the functions in fraction form.

Divide1-1

 

Step 2. Try to simplify the new expression.

This expression is already simplified.

 

Step 3. Be sure your expression is defined.

Since division by zero is undefined, Divide1-2.

Therefore, f(x) ÷ g(x) = Divide1-3 ; when Divide1-4 .