Answer :
A composite function combines two or more functions to generate a new function.
The value of [tex]\mathbf{f(f(6))}[/tex] is -2
The require parameter is:
[tex]\mathbf{f(f(6))}[/tex]
First, we calculate f(6)
From the graph (see attachment)
[tex]\mathbf{f(6) = 2}[/tex]
So, the function [tex]\mathbf{f(f(6))}[/tex] becomes:
[tex]\mathbf{f(2)}[/tex]
In other words,
[tex]\mathbf{f(f(6)) = f(2)}[/tex]
Next, we calculate f(2)
From the graph
[tex]\mathbf{f(2) = -2}[/tex]
So:
[tex]\mathbf{f(f(6)) = -2}[/tex]
Hence, the value of [tex]\mathbf{f(f(6))}[/tex] is -2
Read more about composite functions at:
https://brainly.com/question/20379727
