Question

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

Answer 1

The answer is just adding the two functions together. |x| + 9 - 6, which equals

|x|+3

Since |x| can only be greater than or equal to 0, it is answer one, or greater than or equal to.

Answer 2

Answer:

$(f+g)(x)=|x|+3$  required function is greater than or equal to 3.

Step-by-step explanation:

Given : Two functions $f(x)=|x|+9$ and $g(x)=-6$

To find : Which describe the value of $(f+g)(x)$?

Solution :

We have given the functions $f(x)=|x|+9$ and $g(x)=-6$  

We know, By property  

$(f+g)(x)=f(x)+g(x)$  

Substituting the values,

$(f+g)(x)=|x|+9+(-6)$              

$(f+g)(x)=|x|+9-6$        

$(f+g)(x)=|x|+3$  

If we put any value of x in to this function,

We get a value that is greater than or equal to 3.

Refer the attached figure below.