Author: Sarah Hagan

Operations with Functions

Adding Functions
(f+g)(x) = f(x) + g(x)

Subtracting Functions
(f-g)(x) = f(x) - g(x)

Multiplying Functions
(f· g)(x) = [f(x)][g(x)]

Dividing Functions
(f/g)(x) = f(x)/g(x)

Let f(x) = x - 5 and g(x) = x2 - 2x - 15.
Find (f + g)(x).
Find (g - f)(x)

Adding Functions
(f+g)(x) = f(x) + g(x)

Subtracting Functions
(f-g)(x) = f(x) - g(x)

Find (f· g)(x).
Let f(x) = and g(x) = 3x.
Find (f/g)(x).

Multiplying Functions
(f·g)(x) = [f(x)][g(x)]

Dividing Functions
(f/g)(x) = f(x)/g(x)