Let g(x) be a polynomial with leading coefficient 1 , whose three roots are the reciprocals of the three roots of f(x)=x^{3}+a x^{2}+b x+c, where 1<a<b<c. What is g(1) in terms of a, b, and c ?
Answer Choices
A. \dfrac{1+a+b+c}{c}
B. 1+a+b+c
C. \dfrac{1+a+b+c}{c^{2}}
D. \dfrac{a+b+c}{c^{2}}
E. \dfrac{1+a+b+c}{a+b+c}