What are the points of discontinuity y=x-2/x^2+5x-6

Answer 1

Points of discontinuity occur when the function is undefined.
In this case, the function is undefined when the denominator equals zero.
Therefore, the points of discontinuity occur when x^2 + 5x - 6 = 0.

To find the points of discontinuity, we can factor the denominator:

x^2 + 5x - 6 = (x + 6)(x - 1).

Setting the denominator equal to zero and solving for x gives us the points of discontinuity:

x + 6 = 0 => x = -6

x - 1 = 0 => x = 1

Therefore, the points of discontinuity for the function y = (x-2)/(x^2 + 5x - 6) occur at x = -6 and x = 1.