Two students are arguing over the following equations. One student claims that the graphs are the same, the other student claims they are different. The equations are as follows:
y = x - 1 and y = x^2 - 1 / x + 1 (x + 1 is the divisor)
The Attempt at a Solution
I believe the graphs are different, but an algebraic solution must be included. Please help solving this problem algebraically. Any help is greatly appreciated. Thank you.