Answer:
[tex](f+g) (x)=\mid 3x+5\mid+13[/tex]
Step-by-step explanation:
Operation of Functions
Given:
[tex]f(x)=\mid 3x+5\mid+6[/tex]
[tex]g(x)=7[/tex]
The sum of (f+g) (x) is:
[tex](f+g) (x)=\mid 3x+5\mid+6+7[/tex]
We cannot operate with the expression inside the absolute bars, thus:
[tex]\boxed{(f+g) (x)=\mid 3x+5\mid+13}[/tex]