To find \((f+g)(x)\), we need to add the functions \(f(x)\) and \(g(x)\).
Given:
- \(f(x) = 3x - 4\)
- \(g(x) = 3x + 6\)
Now, we can calculate \((f+g)(x)\):
\[ (f+g)(x) = f(x) + g(x) = (3x - 4) + (3x + 6) \]
Now, combine like terms:
\[ = 3x + 3x - 4 + 6 \] \[ = 6x + 2 \]
Thus, \((f+g)(x) = 6x + 2\).
Now we can fill in the missing values:
\((f+g)(x) = _ \cdot x + _ \)
The answers are:
\((f+g)(x) = 6 \cdot x + 2\)
So the missing values are \(6\) and \(2\).