Question

F(x)=|3x+5|+6
g(x)=7
find (f+g) (x).

Answer 1

`(f+g) (x)=\mid 3x+5\mid+13`

Explanation:

Operation of Functions

Given:

`f(x)=\mid 3x+5\mid+6`

`g(x)=7`

The sum of (f+g) (x) is:

`(f+g) (x)=\mid 3x+5\mid+6+7`

We cannot operate with the expression inside the absolute bars, thus:

`\boxed{(f+g) (x)=\mid 3x+5\mid+13}`