+44 Find the domain, points of discontinuity, and x- and y- intercepts of the rational function. Determine whether the discontinuities are removable or non-removable. y=18−6xx2−9x+18
What is the domain of the function?
A. The set of all real numbers except y=3 and y=6
B. The set of all real numbers except x=0, x=3, and x=6
C. The set of all real numbers except y=0, y=3, and y=6
D. The set of all real numbers except x=3, and x=6
+128475 I think this is
(18 - 6x) 6 ( 3 - x) -6
___________ = ____________ = _________
x^2 - 9x+ 18 (x - 3) ( x - 6) x - 6
We will have a vertical asymptote when x - 6 = 0 ⇒ x = 6
Additionally.....we will have a "hole" when x = 3
So the domain is all reals except x = 3 and x = 6
