To find \((f + g)(x)\), we first need to define what it means:
\[
(f + g)(x) = f(x) + g(x).
\]
Given:
- \(f(x) = 2x - 1\)
- \(g(x) = x^2 - 3x - 2\)
Now, we will add \(f(x)\) and \(g(x)\):
\[
(f + g)(x) = (2x - 1) + (x^2 - 3x - 2).
\]
Now, we'll simplify this expression:
1. Combine like terms:
\[
(2x - 1) + (x^2 - 3x - 2) = x^2 + (2x - 3x) + (-1 - 2).
\]
2. This simplifies to:
\[
x^2 - x - 3.
\]
Therefore, the result is:
\[
(f + g)(x) = x^2 - x - 3.
\]