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Function Operations - Exercise 2 - Composition of Functions

Given the functions f(x) = x2 - x and g(x) = x - 3, find and simplify each of the following:

(f o g)(x), (g o f)(x), (f o f)(x)

Note: The Justification Has Been Provided in This Exercise

STATEMENT JUSTIFICATION
f(x) = x2 - x and g(x) = x - 3

 

 

 

 

 

Given

Function Composition Definition

Distributive Property

Like terms may be combined

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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