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

Answer:

$|x|+3$

Step-by-step 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 $|x|+3$.