Find the domain of the rational function.
-$$h ( x ) = \frac { x + 4 } { x ^ { 2 } - 64 }$$
A) $\{ x \mid x \neq - 8 , x \neq 8 \}$
B) $\{ x \mid x \neq - 8 , x \neq 8 , x \neq - 4 \}$
C) $\{ x \mid x \neq 0 , x \neq 64 \}$
D) all real numbers

Question

Quizplus · Accepted Answer

The denominator $x^2 - 64$ factors to $(x - 8)(x + 8)$, so the function is undefined at $x = 8$ and $x = -8$, making the domain $\{ x \mid x \neq - 8 , x \neq 8 \}$.

Find the Domain of the Rational Function h(x)=x+4x2−64h ( x ) = \frac { x + 4 } { x ^ { 2 } - 64 }h(x)=x2−64x+4​

Find the Domain of the Rational Function $h ( x ) = \frac { x + 4 } { x ^ { 2 } - 64 }$