Answer
$a^2-5a-3$
Work Step by Step
$f(a)=a^2-3a+8$
$g(a+3)=-2(a+3)-5=-2a-6-5=-2a-11$
Thus $f(a)+g(a+3)=a^2-3a+8-2a-11=a^2-5a-3$
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