Find the Vertical Asymptotes of the Rational Function $$f ( x ) = \frac { x ( x - 1 ) } { x ^ { 3 } + 16 x }$$

question 203

Multiple Choice

Find the vertical asymptotes of the rational function.
- $$f ( x ) = \frac { x ( x - 1 ) } { x ^ { 3 } + 16 x }$$

• A) \(x = 0 , x = - 4 , x = 4\)
• B) none
• C) \(x = - 4 , x = 4\)
• D) \(x = 0 , x = - 16\)

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Definitions:

Disjunction

A logical operation that yields a true statement if at least one of its component statements is true.

Tautological Disjunct

A component of a logical statement that repeats the same information in different words, making it unconditionally true.

Tautology

A statement in logic that is true in every possible interpretation or a redundant statement that does not add new information.

Truth Table

A truth table is a mathematical table used in logic to determine whether a proposition is true or false for all possible logical variables.