posted by George .
COnsider g(x)=(8)/(x-6) on (6,13)
(a) Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the x -value where the function is not continuous.
Is is continous? If not? what interval then?
when x=6, you would be dividing by zero
so it is discontinuous at x=6
in general, a discontinuity will result when a division by zero results or an even root of a negative number is attempted, such as the square root, fourth root, sixth root etc.