Answer
$\dfrac{1+\sqrt3}{2}$
Work Step by Step
RECALL:
$(f+g)(x)=f(x)+g(x)$
Use the rule above to obtain:
$(f+g)(30^\circ)=\sin{30^o}+\cos{30^o}=\dfrac{1}{2}+\dfrac{\sqrt3}{2}=\dfrac{1+\sqrt3}{2}$
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