Find the domain of the rational function.
-$$h ( x ) = \frac { x + 4 } { x ^ { 2 } + 4 x }$$
A) $\{ x \mid x \neq - 2 , x \neq 2 \}$
B) all real numbers
C) $\{ x \mid x \neq - 2 , x \neq 2 , x \neq - 4 \}$
D) $\{ x \mid x \neq 0 , x \neq - 4 \}$

Question

Quizplus · Accepted Answer

The denominator $x^2 + 4x$ can be factored as $x(x + 4)$. The function is undefined when the denominator is 0, which occurs at $x = 0$ and $x = -4$. Thus, the domain excludes these values.

Find the Domain of the Rational Function h(x)=x+4x2+4xh ( x ) = \frac { x + 4 } { x ^ { 2 } + 4 x }h(x)=x2+4xx+4​

Find the Domain of the Rational Function $h ( x ) = \frac { x + 4 } { x ^ { 2 } + 4 x }$