Answer:
Step-by-step explanation:
The given function is [tex]f(x) = \frac{(x-3)(x-1)}{(x+2)(x-1)}[/tex]
We have to find
Domain : (-∞, -2)∪(-2,1)∪(1, ∞)
Holes : (1, 0) [by putting common factor of numerator and denominator (x-1)=0]
VA : x = -2 [ by putting denominator (x+2) = 0]
HA : y = 1 [ since highest degree of numerator and denominator are same.Therefore by dividing their coefficients]
OA : No OA [ degree of numerator and denominator are same]
Y- intercept : (0, -3/2) [ by putting x = 0 in the function]
