Find any points for the discontinuity for the rational function.
I think the answer is D.
y=(x-8)/(x^2+5x-6)
A. x=8
B. x= -1, x= 6
C. x= 1, x=6
D. x=1, x= -6
I agree
To find the points of discontinuity for the rational function y=(x-8)/(x^2+5x-6), we need to identify the values of x that make the denominator equal to zero. This is because dividing by zero is undefined and leads to a discontinuity in the function.
The denominator of the rational function is (x^2+5x-6). To find the points of discontinuity, we need to solve the equation (x^2+5x-6) = 0.
Factoring the quadratic expression, we have (x+6)(x-1) = 0.
Setting each factor equal to zero, we get x+6 = 0 and x-1 = 0.
Solving these equations, we find x = -6 and x = 1.
Therefore, the points of discontinuity for the rational function are x = -6 and x = 1.
So, the correct answer is D: x = 1, x = -6.