Find the domain of the rational function
-$r(x)=\frac{x^{2}+x-36}{x^{2}-17 x+72}$

A) All real numbers except - 9 and - 8 .
B) All real numbers except - 9 and 8.
C) All real numbers except - 8 and 9 .
D) All real numbers except 9 and 8.

Question

Find the domain of the rational function
-$r(x)=\frac{x^{2}+x-36}{x^{2}-17 x+72}$

A) All real numbers except - 9 and - 8 .
B) All real numbers except - 9 and 8.
C) All real numbers except - 8 and 9 .
D) All real numbers except 9 and 8.

Quizplus · Accepted Answer

The domain of a rational function is all real numbers except where the denominator equals zero. To find these values, set the denominator equal to zero and solve for $x$: $x^{2}-17x+72=0$. Factoring the quadratic equation gives $(x-9)(x-8)=0$, so $x=9$ and $x=8$ are the values that make the denominator zero. Therefore, the domain is all real numbers except 9 and 8.

Find the Domain of the Rational Function - r(x)=x2+x−36x2−17x+72r(x)=\frac{x^{2}+x-36}{x^{2}-17 x+72}r(x)=x2−17x+72x2+x−36​ A) All Real Numbers Except - 9 and - 8

Find the Domain of the Rational Function
- $r(x)=\frac{x^{2}+x-36}{x^{2}-17 x+72}$ A) All Real Numbers Except - 9 and - 8