Find the domain of the rational function.
-$$f ( x ) = \frac { - 3 x ^ { 2 } } { x ^ { 2 } + 9 x - 36 }$$
A) $\{ x \mid x \neq - 36,1 \}$
B) $\{ x \mid x \neq 12,3 \}$
C) $\{ x \mid x \neq 12 , - 3 \}$
D) $\{ x \mid x \neq - 12,3 \}$

Question

Quizplus · Accepted Answer

The domain of a rational function excludes values that make the denominator zero. Solving $x^2 + 9x - 36 = 0$ gives $x = -12$ and $x = 3$.

Find the Domain of the Rational Function f(x)=−3x2x2+9x−36f ( x ) = \frac { - 3 x ^ { 2 } } { x ^ { 2 } + 9 x - 36 }f(x)=x2+9x−36−3x2​

Find the Domain of the Rational Function $f ( x ) = \frac { - 3 x ^ { 2 } } { x ^ { 2 } + 9 x - 36 }$