If f(x) =|x| +9 and g(x)=-6, which describes the range of (f+g)(x)?

[tex](f + g)(x) = f(x) + g(x)[/tex]
[tex](f + g)(x) = |x| + 9 + ( - 6)[/tex]
[tex](f + g)(x) = |x| + 3[/tex]
If u graph this function u will realize that the range is :
[tex]y \geqslant 3[/tex]
Thus for all the values of x we have the y which is more than or equal to 3 which is telling us the First option is the correct one.
There u go.....
Have a great day ❤