Given $f ( x ) = \frac { 5 x + 4 } { 5 x ^ { 2 } + 4 x }$

Given $f ( x ) = \frac { 5 x + 4 } { 5 x ^ { 2 } + 4 x }$ . Determine the domain of $f ( x )$ and find any vertical asymptotes.

A) domain: all real numbers except $x = - \frac { 4 } { 5 }$ vertical asymptote: $x = 0$
B) domain: all real numbers except $x = 0$ and $x = - \frac { 4 } { 5 }$
vertical asymptote: $x = 0$
C) domain: all real numbers
vertical asymptotes: $x = 0$ and $x = - \frac { 4 } { 5 }$
D) domain: all real numbers except $x = 0$ and $x = \frac { 4 } { 5 }$ vertical asymptote: $x = 0$
E) domain: all real numbers except $x = \frac { 4 } { 5 }$ vertical asymptotes: $x = 0$ and $x = - \frac { 4 } { 5 }$

Correct Answer:

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