Describe the vertical asymptote(s) and hole for the graph of y = (x+2)(x+4)/(x+4)(x+1)

A. asymptotes: x = –1 and hole: x = 4
B. asymptote: x = 2 and hole: x = –1
C. asymptote: x = –1 and hole: x = –4
D. asymptote: x = 1 and hole: x = 4

Question

Describe the vertical asymptote(s) and hole for the graph of y = (x+2)(x+4)/(x+4)(x+1)

A.   asymptotes: x = –1 and hole: x = 4
 B.   asymptote: x = 2 and hole: x = –1
 C.   asymptote: x = –1 and hole: x = –4
 D.   asymptote: x = 1 and hole: x = 4

anonymous · Answer

you can cancel the $x+4$ term top and bottom, meaning it has a hole at $x=-4$

anonymous · Answer

there is no way to get rid of the $x+1$ however, so there is an asymptote at $x=-1$

anonymous · Answer

as usual it is C

anonymous · Answer

THANKS!