Question

`F(X) = ((X-3)(X+1))/((X+3))`

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

Answer 1

Explanation:

Given function is

`f(x)=((x-3)(x+1))/((x+3))`

Domain of the function: (-∞,-3)∪(-3,∞) x | x ≠ -3

Holes: none. No common factors in numerator and denominator

VA: x = -3 as denominator is (x+3)

HA: No horizontal asymptote because degree of the denominator is less than numerator

OA: Roots are x = 3, -1 [(x-3) and (x+1) are the factors]

Y-Intercept: (0, -1) (by putting x = 0 in the given function)