<h2>Hello!</h2>
The answer is:
Let's check the roots and the shown point in the graphic (2,-1)
First,
then,
So, we know that the function intercepts the axis at (1,0) and (0,1), meaning that the function match with the last given option
()
Second,
Evaluating the function at (2,-1)
-1=-1
It means that the function passes through the given point.
Hence,
The equation which represents g(x) is
Have a nice day!