Concept:Evaluate the composite value f(g(−3)) by first finding g(−3), then substituting that result into f(x).Explanation:The given functions are:g(x)=2x+3 and f(x)=3x2−2x+4.First, substitute x=−3 into g(x).g(−3)=2(−3)+3g(−3)=−6+3g(−3)=−3Now use this value in f(x):f(g(−3))=f(−3)f(−3)=3(−3)2−2(−3)+4=3(9)+6+4=27+6+4=37Therefore, the required value is 37.Answer:37 (Option A)