Determine the domain of the function.
-$p ( x ) = \frac { 3 x ^ { 2 } - 5 x - 2 } { x ^ { 2 } - 4 }$
A) $\{ x \mid x \neq - 2 \}$
B) $\{ x \mid x \neq 2 \}$
C) $\{ x \mid x \text { is a real number } \}$
D) $\{ x \mid x \neq 2 \text { and } x \neq - 2 \}$

Question

Quizplus · Accepted Answer

The domain of the function is all real numbers except those that make the denominator zero. The denominator $x^2 - 4$ factors to $(x - 2)(x + 2)$, so the function is undefined at $x = 2$ and $x = -2$.

Determine the Domain of the Function p(x)=3x2−5x−2x2−4p ( x ) = \frac { 3 x ^ { 2 } - 5 x - 2 } { x ^ { 2 } - 4 }p(x)=x2−43x2−5x−2​

Determine the Domain of the Function $p ( x ) = \frac { 3 x ^ { 2 } - 5 x - 2 } { x ^ { 2 } - 4 }$