Find the domain of the rational function.
-$$f ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 13 x + 40 }$$
A) $\{ x \mid x$ is a real number and $x \neq - 5 , x \neq - 8 \}$
B) $\{ x \mid x$ is a real number and $x \neq 5 , x \neq 8 \}$
C) $\{ x \mid x$ is a real number and $x \neq 7 , x \neq - 7 \}$
D) $\{ x \mid x$ is a real number and $x \neq 0 \}$

Question

Quizplus · Accepted Answer

The domain of a rational function excludes values that make the denominator zero. Factoring the denominator $x^2 - 13x + 40$ gives $(x - 5)(x - 8)$, so the values that are not in the domain are $x = 5$ and $x = 8$.

Find the Domain of the Rational Function f(x)=x2−49x2−13x+40f ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 13 x + 40 }f(x)=x2−13x+40x2−49​

Find the Domain of the Rational Function $f ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 13 x + 40 }$