Here is another review question placed on the board by my teacher.
Find the vertical asymptote(s) of the function
G(x) = (x^3 - 1)/(x - x^2)
He said the only vertical asymptote is x = 0.
However, I disagree.
I say that x = 1 is another asymptote.
HERE IS MY WORK:
I factored the denominator.
x - x^2 = x(1 - x).
I then set each factor to 0 and solve for x.
One factor is x = 0
I also set 1 - x = 0 and got x = 1 as another asymptote.
My teacher said that I am wrong but gave me credit for trying.
Who is right and why?