To find \((f+g)(x)\), we need to add the functions \(f(x)\) and \(g(x)\).
Given:
- \(f(x) = x + 8\)
- \(g(x) = -4x - 3\)
Now, we can find \((f + g)(x)\):
\[ (f + g)(x) = f(x) + g(x) \] \[ = (x + 8) + (-4x - 3) \] \[ = x + 8 - 4x - 3 \] \[ = (x - 4x) + (8 - 3) \] \[ = -3x + 5 \]
Thus, \((f+g)(x) = -3x + 5\).