Analytically Determine the Location(s) of Any Vertical Asymptote(s) $f ( x ) = \frac { 800 x + 6000 } { x ^ { 2 } - 38 x - 2867 }$

question 6

Multiple Choice

Analytically determine the location(s) of any vertical asymptote(s) . $f ( x ) = \frac { 800 x + 6000 } { x ^ { 2 } - 38 x - 2867 }$

• A) \(x = 75.82\)
• B) \(x = - 37.82\)
• C) \(x = 75.82\) , \(x = - 37.82\)
• D) \(x = 0\)
• E)no vertical asymptotes

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Definitions:

Extremities

The furthest points or limits of something; can also refer to limbs of the body, such as hands and feet.

Macroevolution

Large-scale evolutionary changes that occur over geological time, leading to the emergence of new species and broader taxonomic categories.

Speciation

The evolutionary process through which new biological species arise due to the divergent evolution of populations that become reproductively isolated from each other.