Find the domain of the function. $f ( x ) = \frac { x - 1 } { x ^ { 2 } - 4 }$
A) $( - 4,4 )$
B) $( - \infty , - 2 ) \cup ( - 2,2 ) \cup ( 2 , \infty )$
C) $( 2 , \infty )$
D) $( - \infty , - 2 ) \cup ( 2 , \infty )$
E)none of these

Question

Quizplus · Accepted Answer

The denominator $x^2 - 4$ factors to $(x - 2)(x + 2)$, so the function is undefined at $x = 2$ and $x = -2$. The domain is all real numbers except $x = 2$ and $x = -2$, which corresponds to $( - \infty , - 2 ) \cup ( - 2,2 ) \cup ( 2 , \infty )$.

Find the Domain of the Function f(x)=x−1x2−4f ( x ) = \frac { x - 1 } { x ^ { 2 } - 4 }f(x)=x2−4x−1​

Find the Domain of the Function $f ( x ) = \frac { x - 1 } { x ^ { 2 } - 4 }$