Determine the Domain Of $f ( x ) = \frac { x ^ { 2 } + 9 x + 20 } { x ^ { 3 } + 5 x ^ { 2 } - x - 5 }$

question 65

Multiple Choice

Determine the domain of
$f ( x ) = \frac { x ^ { 2 } + 9 x + 20 } { x ^ { 3 } + 5 x ^ { 2 } - x - 5 }$

• A) all real numbers except \(x = - 1 , x = 1 , x = - 5\), and \(x = - 4\)
• B) all real numbers except \(x = - 1 , x = 1\), and \(x = - 5\)
• C) all real numbers except \(x = - 5\) and \(x = - 4\)
• D) all real numbers except \(x = 5\)
• E) all real numbers

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Definitions:

Negation

The grammatical or logical operation whereby a proposition or expression is made negative, denying its content.

Order of Operations

A set of rules used in math to determine the sequence in which operations should be performed.

Circular References

A situation in formulas where a reference is made back to the original cell, potentially causing an error or infinite loop.

Direct Circular References

An error condition in formulas where two or more elements reference each other in a loop, causing a calculation problem.