Find the domain of the rational function
-$r(x)=\frac{x^{2}-3 x}{x^{2}-4 x-12}$
A) All real numbers except -2 and 6 .
B) All real numbers except 0 and 3.
C) All real numbers except -6 and 2 .
D) All real numbers except - 3 and 3.

Question

Quizplus · Accepted Answer

The domain of a rational function excludes values that make the denominator zero. Factoring the denominator $x^{2}-4x-12$ gives $(x-6)(x+2)$, so the values that make the denominator zero are $x=6$ and $x=-2$, hence the domain is all real numbers except -2 and 6.

Find the Domain of the Rational Function - r(x)=x2−3xx2−4x−12r(x)=\frac{x^{2}-3 x}{x^{2}-4 x-12}r(x)=x2−4x−12x2−3x​

Find the Domain of the Rational Function
- $r(x)=\frac{x^{2}-3 x}{x^{2}-4 x-12}$