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

question 35

Multiple Choice

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

• 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

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