Hello!
We are going to solve the question with our given functions.
We were given:
- f(x) = |2x +1| + 3
- g(x) = -2
Those are our two given functions, we will use those to solve for (f + g)(x).
Keep in mind that (f + g)(x) could also be written as f(x) + g(x)
With this knowledge, we can solve our question.
Solve:
(ƒ + g)(x) = f(x) + g(x)
Plug in our f(x) and g(x) functions and solve.
f(x) + g(x) = |2x +1| + 3 - 2
Simplify.
|2x +1| + 3 - 2
|2x +1| + 1
Since we can't simplify this any further, the above will be our answer.
(f + g)(x) = |2x +1| + 1
Answer:
|2x +1| + 1
