Question

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

(f + g)(x) 3 for all values of x
(f + g)(x) 3 for all values of x
(f + g)(x) 6 for all values of x
(f + g)(x) 6 for all values of 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

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

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.