Find the domain of the rational function.
-$$f ( x ) = \frac { 5 x } { ( x - 6 ) ( x + 8 ) }$$
A) $\{ x \mid x \neq - 6 , x \neq 8 \}$
B) all real numbers
C) $\{ x \mid x \neq 6 , x \neq - 8 \}$
D) $\{ x \mid x \neq 6 , x \neq - 8 , x \neq - 5 \}$

Question

Quizplus · Accepted Answer

The domain of a rational function excludes values that make the denominator zero. Here, $x - 6 = 0$ gives $x = 6$, and $x + 8 = 0$ gives $x = -8$, so the domain is all real numbers except $x = 6$ and $x = -8$.

Find the Domain of the Rational Function f(x)=5x(x−6)(x+8)f ( x ) = \frac { 5 x } { ( x - 6 ) ( x + 8 ) }f(x)=(x−6)(x+8)5x​

Find the Domain of the Rational Function $f ( x ) = \frac { 5 x } { ( x - 6 ) ( x + 8 ) }$