Find the domain of the rational expression.
-$f ( x ) = \frac { x ^ { 2 } - 4 } { x ^ { 2 } + 13 x + 36 }$
A) $\{ x \mid x$ is a real number and $x \neq 0 \}$
B) $\{ x \mid x$ is a real number and $x \neq - 4 , x \neq - 9 \}$
C) $\{ x \mid x$ is a real number and $x \neq 4 , x \neq - 9 \}$
D) $\{ x \mid x$ is a real number and $x \neq 2 , x \neq - 2 \}$

Question

Quizplus · Accepted Answer

The domain of a rational expression excludes values that make the denominator equal to zero. Factoring the denominator $x^2 + 13x + 36$ gives $(x + 4)(x + 9)$, so the values that are not in the domain are $x = -4$ and $x = -9$.

Find the Domain of the Rational Expression f(x)=x2−4x2+13x+36f ( x ) = \frac { x ^ { 2 } - 4 } { x ^ { 2 } + 13 x + 36 }f(x)=x2+13x+36x2−4​

Find the Domain of the Rational Expression $f ( x ) = \frac { x ^ { 2 } - 4 } { x ^ { 2 } + 13 x + 36 }$