The domain is the set of all possible input values of x.
The restriction on this is that we cannot divide by zero.
Thus we must find all values of x that make the denominator zero.
Assuming we are missing the grouping parenthesis which MUST BE INCLUDED:
= (2-9x)/[6x(x+8) + (x+8)]
Now that we have factored the denominator, look for the values that
would make that equal to zero:
6x = -1 x = -8
x = -1/6
The domain of x is all real numbers EXCEPT -1/6 and -8
D = (-∞, -8)U(-8, -1/6)U(-1/6, ∞)