Question 16Let $g(x)$ be a polynomial with leading coefficient $1,$ whose three roots are the reciprocals of the three roots of $f(x)=x^3+ax^2+bx+c,$ where $1\lt a\lt b\lt c.$ What is $g(1)$ in terms of $a,$ $b,$ and $c?$$\dfrac{1+a+b+c}{c}$$1+a+b+c$$\dfrac{1+a+b+c}{c^2}$$\dfrac{a+b+c}{c^2}$$\dfrac{1+a+b+c}{a+b+c}$