First, we have to factor both the numerator and the denominator[tex]y= \frac{(3x-2)(x+4)}{(x+3)(x+4)} [/tex]
A hole in a rational function is defined as any input that leads to the numerator and denominator to equal zero as such, x=-4
The vertical asymptote can be found at x=-4 and x=-3
The horizontal asymptote since the numerator has the same degree as the denominator there is a horizontal asymptote. which is at y= 3
