Find the domain of the function.
-$$h ( x ) = \frac { x - 2 } { x ^ { 3 } - 9 x }$$
A) $\{ x \mid x \neq 2 \}$
B) $\{ x \mid x \neq 0 \}$
C) all real numbers
D) $\{ x \mid x \neq - 3,0,3 \}$

Question

Quizplus · Accepted Answer

The denominator $x^3 - 9x$ can be factored as $x(x^2 - 9) = x(x - 3)(x + 3)$. The function is undefined when the denominator is 0, which occurs at $x = 0$, $x = 3$, and $x = -3$. Thus, the domain excludes these values.

Find the Domain of the Function h(x)=x−2x3−9xh ( x ) = \frac { x - 2 } { x ^ { 3 } - 9 x }h(x)=x3−9xx−2​

Find the Domain of the Function $h ( x ) = \frac { x - 2 } { x ^ { 3 } - 9 x }$