Find the Domain of the Rational Function $f ( x ) = \frac { 1 - 6 x } { x ^ { 3 } - 18 x ^ { 2 } + 45 x }$

question 162

Multiple Choice

Find the domain of the rational function.
$f ( x ) = \frac { 1 - 6 x } { x ^ { 3 } - 18 x ^ { 2 } + 45 x }$

• A) \(\{ x \mid x \text { is a real number and } x \neq - 15 , x \neq 3 , x \neq 0 \}\)
• B) \(\{ x \mid x \text { is a real number and } x \neq 15 , x \neq 3 , x \neq 0 \}\)
• C) \(\left\{ x \mid x \text { is a real number and } x \neq 15 , x \neq 3 , x \neq \frac { 1 } { 6 } , x \neq 0 \right\}\)
• D) \(\left\{ x \mid x \text { is a real number and } x \neq 15 , x \neq 3 , x \neq \frac { 1 } { 6 } \right\}\)

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