Find any points of discontinuity for the rational function.
y = x minus eight over x squared plus five times x minus six
The rational function is given by:
y = (x-8) / (x^2 + 5x - 6)
To find the points of discontinuity, we need to consider the values of x that make the denominator zero, since division by zero is undefined.
Setting the denominator equal to zero:
x^2 + 5x - 6 = 0
(x+6)(x-1) = 0
x = -6 or x = 1
Therefore, the rational function has points of discontinuity at x = -6 and x = 1. These are the values of x that make the denominator zero.