Find the domain of the rational function
-$r(x)=\frac{x^{2}-10 x+24}{x^{2}-6 x}$
A) All real numbers except 0 and- 6 .
B) All real numbers except 0 and 6.
C) All real numbers except 0 .
D) All real numbers except - 6 and 6 .

Question

Quizplus · Accepted Answer

The domain of a rational function is all real numbers except where the denominator equals zero. For $r(x)=\frac{x^{2}-10 x+24}{x^{2}-6 x}$, setting the denominator equal to zero gives $x^{2}-6x=0$, which factors to $x(x-6)=0$. This gives $x=0$ and $x=6$ as the values that make the denominator zero. Therefore, the domain is all real numbers except 0 and 6.

Find the Domain of the Rational Function - r(x)=x2−10x+24x2−6xr(x)=\frac{x^{2}-10 x+24}{x^{2}-6 x}r(x)=x2−6xx2−10x+24​

Find the Domain of the Rational Function
- $r(x)=\frac{x^{2}-10 x+24}{x^{2}-6 x}$