Find the Domain of the Function and Identify Any Vertical $$f ( x ) = \frac { x + 4 } { x ^ { 2 } - 16 }$$

question 23

Multiple Choice

Find the domain of the function and identify any vertical and horizontal asymptotes.​ $$f ( x ) = \frac { x + 4 } { x ^ { 2 } - 16 }$$ ​

• A)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.
• B)The domain is all real numbers x except x = ±4.There is a vertical asymptote at x = -16,and a horizontal asymptote at y = 0.
• C)The domain is all real numbers x except x = ±16.There is a vertical asymptote at x = -16,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 = ±16.There is a vertical asymptote at x = -4,and a horizontal asymptote at y = 0.

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Definitions:

Kano Masanobu

The founder of the Kano school of Japanese painting, known for his contributions to the development of ink and wash painting.

Kano Style

A school of Japanese painting founded in the 15th century, known for its bold brush strokes and thematic variety, serving the needs of various Japanese shogunates and emperors.

Muromachi Shogunate

A period in Japanese history (1336–1573) characterized by the governance of the Ashikaga shogunate, known for its cultural development and military conflicts.

Tokugawa Shogunate

The last feudal Japanese military government which existed between 1603 and 1868, led by the Tokugawa family.