[tex]f(x) = \frac{(2x+3)(x-6)}{(x+2)(x-1)}[/tex]Domain:V.A:Roots:Y-int:H.A:Holes:O.A:Also, draw on the graph.

Answer:See below.Step-by-step explanation:Domain is All Real x ;  where x ≠ -2 , x ≠ 1.Vertical asymptotes: x = -2 and x = 1.Roots are the solution of (2x + 3)(x - 6) = 0. That is {-1.5, 6}.Y-intercept  is the value of y when x = 0: = 2(0) + 3)(0 - 6) / ( 0 + 2)( 0 - 1)= -18/-2 =  9. So it's (0, 9).Horizontal asymptotes:The limit of the function as x approaches infinity:The terms in x^2 are 2x^2 in the numerator and x^2 in the denominator so the limit is +2.There is an asymptote y = 2.Holes:No factors cancel out so there are no holes.I'm not sure about O.A.