Subjects algebra

Sum Functions 9E1F89

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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:** $$\boxed{-4}$$