Find the domain of the rational function.
-$$g ( x ) = \frac { x } { x ^ { 3 } - 216 }$$
A) $\{ x \mid x \neq 6 \}$
B) $\{ x | x z - 6 \rangle$
C) $\{ x | x z - 6,6 \rangle$
D) $\{ x \mid x \neq 36 \}$

Question

Quizplus · Accepted Answer

The domain of a rational function includes all real numbers except those that make the denominator equal to zero. For the given function, the denominator is $x^3 - 216$. Setting this equal to zero gives $x^3 = 216$, which simplifies to $x = 6$ when solving for $x$. Therefore, the domain is all real numbers except $x = 6$, which corresponds to choice A.

Find the Domain of the Rational Function g(x)=xx3−216g ( x ) = \frac { x } { x ^ { 3 } - 216 }g(x)=x3−216x​

Find the Domain of the Rational Function $g ( x ) = \frac { x } { x ^ { 3 } - 216 }$