Find the domain of the rational function.
-$$h ( x ) = \frac { x + 5 } { x ^ { 2 } - 36 }$$
A) $\{ x \mid x \neq 0,36 \}$
B) $\{ x \mid x \neq - 6,6 , - 5 \}$
C) $\{ x \mid x \neq - 6,6 \}$
D) all real numbers

Question

Quizplus · Accepted Answer

The domain of a rational function excludes values that make the denominator zero. For $h(x) = \frac{x + 5}{x^2 - 36}$, the denominator $x^2 - 36$ becomes zero when $x^2 = 36$, which happens at $x = 6$ and $x = -6$. Thus, the domain is all real numbers except $x \neq -6, 6$.

Find the Domain of the Rational Function h(x)=x+5x2−36h ( x ) = \frac { x + 5 } { x ^ { 2 } - 36 }h(x)=x2−36x+5​

Find the Domain of the Rational Function $h ( x ) = \frac { x + 5 } { x ^ { 2 } - 36 }$