Find any points of discontinuity for the rational function.
y=x-2/ x^2-4x+3
To find points of discontinuity for a rational function, we need to find the values of x where the denominator becomes zero.
In this case, the denominator is x^2 - 4x + 3. We can find the points of discontinuity by setting the denominator equal to zero and solving for x:
x^2 - 4x + 3 = 0
This is a quadratic equation, which can be factored as:
(x - 3)(x - 1) = 0
Setting each factor equal to zero:
x - 3 = 0
x = 3
x - 1 = 0
x = 1
Therefore, the points of discontinuity for the rational function y = (x - 2)/(x^2 - 4x + 3) are x = 3 and x = 1.