Find the domain of the rational function.
-$$h ( x ) = \frac { x + 2 } { x ^ { 2 } - 36 }$$
A) $\{ x \mid x \neq - 6 , x \neq 6 \}$
B) $\{ x \mid x \neq - 6 , x \neq 6 , x \neq - 2 \}$
C) all real numbers
D) $\{ x \mid x \neq 0 , x \neq 36 \}$

Question

Quizplus · Accepted Answer

The denominator $x^2 - 36$ factors to $(x - 6)(x + 6)$, so the function is undefined at $x = 6$ and $x = -6$. The numerator does not affect the domain, so the correct domain is $\{ x \mid x \neq - 6 , x \neq 6 \}$.

Find the Domain of the Rational Function h(x)=x+2x2−36h ( x ) = \frac { x + 2 } { x ^ { 2 } - 36 }h(x)=x2−36x+2​

Find the Domain of the Rational Function $h ( x ) = \frac { x + 2 } { x ^ { 2 } - 36 }$