Choose the one alternative that best completes the statement or answers the question.
Find the domain of the rational function.
-$$g ( x ) = \frac { 5 x } { ( x + 2 ) ( x + 4 ) }$$
A) $\{ x \mid x \neq - 2 , - 4 , - 5 \}$
B) $\{ x \mid x \neq 2,4 \}$
C) $\{ x \mid x \neq - 2 , - 4 \}$
D) all real numbers

Question

Quizplus · Accepted Answer

The domain of a rational function excludes values that make the denominator zero. For $g(x) = \frac{5x}{(x+2)(x+4)}$, the denominator is zero when $x = -2$ or $x = -4$, so the domain is all real numbers except $x \neq -2, -4$.

Choose the One Alternative That Best Completes the Statement or Answers