Several of these rational functions do not have a removable discontinuity.
_____
In a rational function, a removable discontinuity is generally found where numerator and denominator factors cancel. None of the denominator factors here is matched by a numerator factor, so the discontinuity that a denominator zero creates cannot be removed by defining the function at that point.
The function y = ( )/( ) has two discontinuities: one at x=-3, another at x=-5. The (x+5) factor in the denominator is matched by an (x+5) factor in the numerator, so there is a removable discontinuity at x=-5. That discontinuity can be removed by defining y=3 at that point.
Only 4. y = ... has a removable discontinuity.
