Question

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

Answer 1

(f+g)(x) ≥ 3 for all values of x

Answer 2

`|x|+3`

Explanation:

We have been given two functions
`f(x)=|x|+9` and
`g(x)=-6`. We are asked to find the value of
`(f+g)(x)`.

To find the value of
`(f+g)(x)` we need to add both of our given functions.

`(f+g)(x)=f(x)+g(x)`

Upon substituting the values of both functions we will get,

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

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

`(f+g)(x)=|x|+3`

Therefore, the value of our given composite function
`(f+g)(x)` will be
`|x|+3`.