6.
There is discontinuity at any x value that causes a zero in the denominator.
There is discontinuity when...
x + 9 = 0 and x + 7 = 0
x = -9 and x = -7
7.
Since (x + 1) is in the denominator but not in the numerator, there is an asymptote at x = -1
Since (x + 4) is in the denominator and in the numerator, there is a hole at x = -4
6.
There is discontinuity at any x value that causes a zero in the denominator.
There is discontinuity when...
x + 9 = 0 and x + 7 = 0
x = -9 and x = -7
7.
Since (x + 1) is in the denominator but not in the numerator, there is an asymptote at x = -1
Since (x + 4) is in the denominator and in the numerator, there is a hole at x = -4