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

question 78

Multiple Choice

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 \(x = - \frac { 4 } { 5 }\)

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