Find the domain of the rational expression.
-$f ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 11 x + 30 }$
A) $\{ x \mid x$ is a real number and $x \neq 6 , x \neq 5 \}$
B) $\{ x \mid x$ is a real number and $x \neq 0 \}$
C) $\{ x \mid x$ is a real number and $x \neq 7 , x \neq - 7 \}$
D) $\{ x \mid x$ is a real number and $x \neq - 6 , x \neq - 5 \}$

Question

Quizplus · Accepted Answer

The domain of a rational expression excludes values that make the denominator zero. Factoring the denominator $x^2 - 11x + 30 = (x - 6)(x - 5)$, we find that $x = 6$ and $x = 5$ make the denominator zero. Thus, the domain excludes 6 and 5.

Find the Domain of the Rational Expression f(x)=x2−49x2−11x+30f ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 11 x + 30 }f(x)=x2−11x+30x2−49​

Find the Domain of the Rational Expression $f ( x ) = \frac { x ^ { 2 } - 49 } { x ^ { 2 } - 11 x + 30 }$