1. The problem asks to find the value of $ (f+g)(5) $ where $ f(x) = x^2 - 9 $ and $ g(x) = 2x + 6 $. 2. The function $ (f+g)(x) $ means we add the outputs of $ f(x) $ and $ g(x) $ for the same input $ x $. So, $$ (f+g)(x) = f(x) + g(x) $$ 3. Substitute the given functions: $$ (f+g)(x) = (x^2 - 9) + (2x + 6) = x^2 + 2x - 3 $$ 4. Now evaluate at $ x=5 $: $$ (f+g)(5) = 5^2 + 2(5) - 3 = 25 + 10 - 3 = 32 $$ 5. Therefore, the value of $ (f+g)(5) $ is 32, which corresponds to option B.