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Find the Domain of the Function and Identify Any Vertical f(x)=5x2+8x2+x+9f ( x ) = \frac { 5 x ^ { 2 } + 8 } { x ^ { 2 } + x + 9 }

Question 35

Multiple Choice

Find the domain of the function and identify any vertical and horizontal asymptotes.​ f(x) =5x2+8x2+x+9f ( x ) = \frac { 5 x ^ { 2 } + 8 } { x ^ { 2 } + x + 9 }


A) Domain: all real numbers x Vertical asymptote: No vertical asymptote
Horizontal 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

Correct Answer:

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