Find the Domain of the Function and Identify Any Vertical $$f ( x ) = \frac { x - 2 } { x ^ { 2 } - 4 }$$

question 51

Multiple Choice

Find the domain of the function and identify any vertical and horizontal asymptotes.​ $$f ( x ) = \frac { x - 2 } { x ^ { 2 } - 4 }$$ ​

• A)The domain is all real numbers x except x = ±2.There is a vertical asymptote at x = -2,and a horizontal asymptote at y = 0.
• B)The domain is all real numbers x except x = ±2.There is a vertical asymptote at x = -2,and a horizontal asymptote at y = \(\frac { 1 } { 2 }\) .
• C)The domain is all real numbers x.There is a vertical asymptote at x = -4,and a horizontal asymptote at y = 0.
• D)The domain is all real numbers x except x ​= ±4.There is a vertical asymptote at x = -4,and a horizontal asymptote at y = 0.
• E)The domain is all real numbers x except x ​= ±4.There is a vertical asymptote at x = -2,and no horizontal asymptote.

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