Find the Domain of the Function and Identify Any Vertical $f ( x ) = \frac { 5 x ^ { 2 } + 8 } { x ^ { 2 } + x + 9 }$

Multiple Choice

Find the domain of the function and identify any vertical and horizontal asymptotes. $f ( x ) = \frac { 5 x ^ { 2 } + 8 } { x ^ { 2 } + x + 9 }$

A) Domain: all real numbers x
Vertical asymptote: No vertical asymptoteHorizontal asymptote: y = 5
B) Domain: all real numbers except x = 0
Vertical asymptote: x = 0
Horizontal asymptote: y = -8
C) Domain: all real numbers x
Vertical asymptote: x = -5
Horizontal asymptote: y = 0
D) Domain: all real numbers except x = 5
Vertical asymptote: No vertical asymptote
Horizontal asymptote: No horizontal asymptote
E) Domain: all real numbers except x = 9
Vertical asymptote: x = 5
Horizontal asymptote: y = 8