Function Notation: Examples Continued

Function Notation

Example 3

Given f(x) = 2x - 1 and g(x) = 3 find (f ? g)(x).

Step 1. Substitute the functions in the product rule.

(2x - 1) (3)

Step 2. Use Distributive Property to simplify.

(f ? g)(x) = 6x - 3

Example 4

Given f(x) = 3x and g(x) = 4x - 1 find comb_funct_ex4-1 .

Step 1. Substitute the functions in the quotient rule.

comb_funct_ex4-2

Step 2. Simplify if possible, state undefined values.

Since this expression cannot be simplified, comb_funct_ex4-3 .

Since division by zero is undefined, .