Lesson 6.4: Combining Functions

Question 1

Composition of Functions/Function Composition

Answer 1

This operation means to put one function into the other, wherever there is an “input” or x spot. You might see this written as f(g(x)), where you can clearly see that the function g(x) has been entered or substituted or “plugged in” for the x in the function f(x). Another way this is written is (f ∘ g)(x) which is read “f of g of x”.

Question 2

Function Operations

Question 3

Function Notation

Answer 3

a way to write functions that is easy to read and understand; f(x)=x