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Given f(x)=5x+45x2+4xf ( x ) = \frac { 5 x + 4 } { 5 x ^ { 2 } + 4 x }

Question 78

Multiple Choice

Given f(x) =5x+45x2+4xf ( x ) = \frac { 5 x + 4 } { 5 x ^ { 2 } + 4 x } . Determine the domain of f(x) f ( x ) and find any vertical asymptotes.


A) domain: all real numbers except x=45x = - \frac { 4 } { 5 } vertical asymptote: x=0x = 0
B) domain: all real numbers except x=0x = 0 and x=45x = - \frac { 4 } { 5 } vertical asymptote: x=0x = 0
C) domain: all real numbers vertical asymptotes: x=0x = 0 and x=45x = - \frac { 4 } { 5 }
D) domain: all real numbers except x=0x = 0 and x=45x = \frac { 4 } { 5 } vertical asymptote: x=0x = 0
E) domain: all real numbers except x=45x = \frac { 4 } { 5 } vertical asymptotes: x=0x = 0 and x=45x = - \frac { 4 } { 5 }

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