(2) Answer: 20 12 Note: g(x) is divided into cubic function and inverse proportional function. Cubic function uses symmetry center (1/2,1); Inverse proportional function f(x)= 1/(x- 1/2), f(a)+f(b)=0. When a+b= 1,
The picture is not very clear, but the inflection point is the zero point of the second derivative. Maybe you take it as the first derivative.
The symmetric center of cubic function exists and is unique, that is, the inflection point. If a cubic function has two extreme points, the inflection point is the midpoint of the two extreme points. It seems that you have confused the inflection point with the extreme point.
The second question requires symmetry. In fact, the first question has been raised, the cubic function is symmetrical, and the term 1/(x- 1/2) is also symmetrical. Use them all.