Composite functions are functions formed by combining multiple functions that may or may not be the same.
The composite function (f o g)(x) is -2x - 1
The functions are given as:
[tex]f(x) =-2x - 5[/tex]
[tex]g(x) = x - 2[/tex]
The composite function (f o g)(x) is calculated using:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
Given that:
[tex]f(x) =-2x - 5[/tex]
Substitute g(x) for x in the above equation
[tex]f(g(x)) =-2g(x) - 5[/tex]
Substitute [tex]g(x) = x - 2[/tex]
[tex]f(g(x)) =-2(x - 2) - 5[/tex]
Expand
[tex]f(g(x)) =-2x + 4 - 5[/tex]
So, we have:
[tex]f(g(x)) =-2x -1[/tex]
Hence, the composite function (f o g)(x) is -2x - 1
Read more about composite functions at:
https://brainly.com/question/10687170
