Find the Domain of the Rational Expression $f ( x ) = \frac { x ^ { 3 } + 8 x ^ { 4 } } { x ^ { 2 } + 36 }$

question 280

Multiple Choice

Find the domain of the rational expression.
- $f ( x ) = \frac { x ^ { 3 } + 8 x ^ { 4 } } { x ^ { 2 } + 36 }$

• A) \(\{ x \mid x\) is a real number and \(x \neq - 36 \}\)
• B) \(\left\{ x \mid x \right.\) is a real number and \(\left. x \neq 0 , x \neq - \frac { 1 } { 8 } \right\}\)
• C) \(\{ x \mid x\) is a real number \(\}\)
• D) \(\{ x \mid x\) is a real number and \(x z - 6 \}\)

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