To find \((f+g)(x)\), you need to add the functions \(f(x)\) and \(g(x)\) together.
Given:
- \(f(x) = 3x - 4\)
- \(g(x) = 3x + 6\)
Now, let's calculate \((f+g)(x)\):
\[ (f+g)(x) = f(x) + g(x) = (3x - 4) + (3x + 6) \]
Combine the like terms:
\[ (f+g)(x) = 3x + 3x - 4 + 6 = 6x + 2 \]
So the answer is:
\[ (f+g)(x) = 6x + 2 \]