Find the domain of the rational function.
-$$f ( x ) = \frac { 9 x ^ { 2 } } { 6 - x }$$
A) $\{ x \mid x$ is a real number $\}$
B) $\{ x \mid x$ is a real number and $x \neq 0 \}$
C) $\{ x \mid x$ is a real number and $x \neq - 6 \}$
D) $\{ x \mid x$ is a real number and $x \neq 6 \}$

Question

Quizplus · Accepted Answer

The denominator of the function cannot be zero, so we set $6 - x = 0$ and solve for $x$, which gives $x = 6$. Therefore, the domain is all real numbers except $x = 6$.

Find the Domain of the Rational Function f(x)=9x26−xf ( x ) = \frac { 9 x ^ { 2 } } { 6 - x }f(x)=6−x9x2​

Find the Domain of the Rational Function $f ( x ) = \frac { 9 x ^ { 2 } } { 6 - x }$