Find the domain of the rational function.
-$$g ( x ) = \frac { 7 x ^ { 2 } } { ( x - 3 ) ( x - 1 ) }$$
A) $\{ x \mid x \neq 3 , x \neq 1 \}$
B) $\{ x \mid x \neq - 3 , x \neq - 1 \}$
C) $\{ x \mid x \neq 3 , x \neq 1 , x \neq - 7 \}$
D) all real numbers

Question

Quizplus · Accepted Answer

The domain of a rational function excludes values that make the denominator zero. Here, setting the denominator equal to zero gives $x - 3 = 0$ and $x - 1 = 0$, which solve to $x = 3$ and $x = 1$, respectively. Therefore, the domain is all real numbers except $x = 3$ and $x = 1$.

Find the Domain of the Rational Function g(x)=7x2(x−3)(x−1)g ( x ) = \frac { 7 x ^ { 2 } } { ( x - 3 ) ( x - 1 ) }g(x)=(x−3)(x−1)7x2​

Find the Domain of the Rational Function $g ( x ) = \frac { 7 x ^ { 2 } } { ( x - 3 ) ( x - 1 ) }$