Find the domain of the rational function.
-$g ( x ) = \frac { x ^ { 2 } - 25 } { x ^ { 2 } - 15 x + 54 }$
A) $\{ x \mid x$ is a real number and $x \neq 5 , x \neq - 5 \}$
B) $\{ x \mid x$ is a real number and $x \neq - 6 , x \neq - 9 \}$
C) $\{ x \mid x$ is a real number and $x \neq 0 \}$
D) $\{ x \mid x$ is a real number and $x \neq 6 , x \neq 9 \}$

Question

Quizplus · Accepted Answer

The domain of a rational function is all real numbers except where the denominator equals zero. Factoring the denominator $x^2 - 15x + 54 = (x - 6)(x - 9)$, we find that the denominator is zero when $x = 6$ or $x = 9$. Therefore, the domain excludes 6 and 9.

Find the Domain of the Rational Function g(x)=x2−25x2−15x+54g ( x ) = \frac { x ^ { 2 } - 25 } { x ^ { 2 } - 15 x + 54 }g(x)=x2−15x+54x2−25​

Find the Domain of the Rational Function $g ( x ) = \frac { x ^ { 2 } - 25 } { x ^ { 2 } - 15 x + 54 }$