Blake Teres Post 4 - Composition of Functions

Lesson Plan:


Function composition is the process of combing two functions to create a third function. The output of one function then becomes the input of another function. Let's take a look.

    - Function 1: f(x) = 6x - 5

    - Function 2: g(x) = x^2

To compose these functions, we must use a certain notation. Depending on which function we want to compose within the other function, we could use either of the two following formulas:

1. (f o g)(x) = (f(g(x))

2. (g o f)(x) = (g(f(x))

In function 1, we would first solve g(x). After finding the value of g(x), plugin that value into f(x). In function 2, we would first solve f(x). After finding the value of f(x), plugin that value into g(x).

Let's do an example problem.

f(g(x)) when x = 3

g(3) = (3)^2 = 9

f(9) = 6(9) - 5 = 49

so, f(g(3)) = 49.