Find the Domain of the Rational Function $f ( x ) = \frac { 1 - 2 x } { x ^ { 2 } - 20 x + 96 }$

question 265

Multiple Choice

Find the domain of the rational function.
$f ( x ) = \frac { 1 - 2 x } { x ^ { 2 } - 20 x + 96 }$

• A) \(\{ x \mid x \text { is a real number and } x \neq - 12 , x \neq 8 \}\)
• B) \(\left\{ x \mid x \text { is a real number and } x \neq 12 , x \neq 8 , x \neq \frac { 1 } { 2 } , x \neq 0 \right\}\)
• C) \(\{ x \mid x \text { is a real number and } x \neq 12 , x \neq 8 \}\)
• D) \(\left\{ x \mid x \text { is a real number and } x \neq 12 , x \neq 8 , x \neq \frac { 1 } { 2 } \right\}\)

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Definitions:

Liability on Debts

The legal responsibility to pay money owed to creditors, either by an individual or a company.

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Successor's Liability

The legal responsibility of a successor entity to bear the liabilities of its predecessor under certain conditions.