Answer:
[tex]|x|+3[/tex]
Step-by-step explanation:
We have been given two functions [tex]f(x)=|x|+9[/tex] and [tex]g(x)=-6[/tex]. We are asked to find the value of [tex](f+g)(x)[/tex].
To find the value of [tex](f+g)(x)[/tex] we need to add both of our given functions.
[tex](f+g)(x)=f(x)+g(x)[/tex]
Upon substituting the values of both functions we will get,
[tex](f+g)(x)=|x|+9+(-6)[/tex]
[tex](f+g)(x)=|x|+9-6[/tex]
[tex](f+g)(x)=|x|+3[/tex]
Therefore, the value of our given composite function [tex](f+g)(x)[/tex] will be [tex]|x|+3[/tex].
