Question

`F(x)=((x-3)(x-1))/((x-1)(x+2))`

What is the:
Domain:
Holes:
VA:
HA:
OA: Roots:
Y-Intercepts:

Answer 1

Explanation:

The given function is
`f(x) = ((x-3)(x-1))/((x+2)(x-1))`

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]