Given that \( f(x)=x+4 \) and \( g(x)=x^{2}-x \), find \( (f+g)(3) \), if it exists.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. \( (f+g)(3)=12 \) (Simplify your answer.)
B. The value for \( (f+g)(3) \) does not exist.

Answer

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Answer

\( (f+g)(3) = 7 + 6 = 13 \)

Steps

Step 1 ：\( (f+g)(3) = f(3) + g(3) \)

Step 2 ：\( f(3) = 3 + 4 = 7 \) and \( g(3) = 3^2 - 3 = 6 \)

Step 3 ：\( (f+g)(3) = 7 + 6 = 13 \)