Find the domain of the function.
-$$g ( x ) = \frac { 2 x } { x ^ { 2 } - 81 }$$
A) all real numbers
B) $\{ x \mid x \neq 0 \}$
C) $\{ x \mid x 81 \}$
D) $\{ x \mid x \neq - 9,9 \}$

Question

Find the domain of the function.
-$$g ( x ) = \frac { 2 x } { x ^ { 2 } - 81 }$$
A) all real numbers
B) $\{ x \mid x \neq 0 \}$
C) $\{ x \mid x > 81 \}$
D) $\{ x \mid x \neq - 9,9 \}$

Quizplus · Accepted Answer

The denominator $x^2 - 81$ factors to $(x + 9)(x - 9)$, so the function is undefined when $x = -9$ or $x = 9$. Thus, the domain is all real numbers except $x = -9$ and $x = 9$.

Find the Domain of the Function g(x)=2xx2−81g ( x ) = \frac { 2 x } { x ^ { 2 } - 81 }g(x)=x2−812x​

Find the Domain of the Function $g ( x ) = \frac { 2 x } { x ^ { 2 } - 81 }$