What are the points of discontinuity?
y = x-2/x^2+5x-6
The points of discontinuity are the values of x that make the denominator zero, since division by zero is undefined.
To find these points, we need to factor the denominator:
x^2 + 5x - 6 = (x+6)(x-1)
So the function is undefined when x+6=0 or x-1=0, i.e. at x=-6 and x=1.
Therefore, the points of discontinuity are x=-6 and x=1.