Find any points of discontinuity for the rational function. y =(x+6)(x+2)(x+8)/(x+9)(x+7)
To find the points of discontinuity for the rational function, we need to find the values of x that will make the denominator equal to zero, since division by zero is undefined.
Setting the denominator equal to zero, we have:
(x + 9)(x + 7) = 0
This equation will be true when either x + 9 = 0 or x + 7 = 0. Solving these equations, we find:
x + 9 = 0 => x = -9
x + 7 = 0 => x = -7
Therefore, the points of discontinuity for the rational function are x = -9 and x = -7.