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

f(x) = |x| + 9

g(x) = -6

(f + g)(x) = |x| + 9 + -6

= |x| + 3

I don't understand the second question. Do you mean (f + g)(3) and (f + g)(6)? Can you please type it in the comments?

Answer 2

`(f+g)(x)\geq 3` for all values.

Explanation:

Given :
`f(x)=|x|+9` and
`g(x)=-6`

To find : The description of
`(f+g)(x)`

Solution :

We have given,

`f(x)=|x|+9` and
`g(x)=-6`

Using 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.