Specify the domain for the function. $f ( x ) = \frac { - 2 } { x ^ { 2 } + 3 x }$
A) $D = ( - \infty , - 3 ) \cup ( - 3,0 ) \cup ( 0 , \infty )$
B) $D = ( - \infty , \infty )$
C) $D = ( - \infty , 0 ) \cup ( 0 , \infty )$
D) $D = ( - \infty , - 3 ) \cup ( - 3 , \infty )$

Question

Quizplus · Accepted Answer

The domain of the function excludes values of $x$ that make the denominator zero. Factoring the denominator gives $x(x + 3)$, so the values that make the denominator zero are $x = 0$ and $x = -3$. Therefore, the domain is all real numbers except $x = 0$ and $x = -3$, which matches option A.

Specify the Domain for the Function f(x)=−2x2+3xf ( x ) = \frac { - 2 } { x ^ { 2 } + 3 x }f(x)=x2+3x−2​

Specify the Domain for the Function $f ( x ) = \frac { - 2 } { x ^ { 2 } + 3 x }$