1. **State the problem:** We need to find the value of $\left(f+g\right)(3)$ using the graphs of the functions $f(x)$ and $g(x)$.
2. **Recall the formula:** The sum of two functions at a point is given by
$$\left(f+g\right)(x) = f(x) + g(x)$$
3. **Find the values from the graphs:**
- From the blue graph $f(x)$, at $x=3$, $f(3) = -5$.
- From the red graph $g(x)$, at $x=3$, $g(3) = 1$.
4. **Calculate the sum:**
$$\left(f+g\right)(3) = f(3) + g(3) = -5 + 1$$
5. **Simplify:**
$$\left(f+g\right)(3) = -4$$
**Final answer:**
$$\boxed{-4}$$
Sum Functions 9E1F89
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