Find the domain of the rational function
-$r(x)=\frac{x^{2}+4 x-32}{x^{2}-9}$

A) All real numbers except - 8 and 4 .
B) All real numbers except - 3 and 3.
C) All real numbers except -4 and 8.
D) All real numbers.

Question

Find the domain of the rational function
-$r(x)=\frac{x^{2}+4 x-32}{x^{2}-9}$

A) All real numbers except - 8 and 4 .
B) All real numbers except - 3 and 3.
C) All real numbers except -4 and 8.
D) All real numbers.

Quizplus · Accepted Answer

The domain of a rational function is all real numbers except where the denominator equals zero. For $r(x)=\frac{x^{2}+4 x-32}{x^{2}-9}$, the denominator is $x^{2}-9$, which factors to $(x-3)(x+3)$. Thus, the function is undefined at $x=3$ and $x=-3$, making the correct domain all real numbers except -3 and 3.

Find the Domain of the Rational Function - r(x)=x2+4x−32x2−9r(x)=\frac{x^{2}+4 x-32}{x^{2}-9}r(x)=x2−9x2+4x−32​ A) All Real Numbers Except - 8 and 4

Find the Domain of the Rational Function
- $r(x)=\frac{x^{2}+4 x-32}{x^{2}-9}$ A) All Real Numbers Except - 8 and 4