Specify the domain for the function. $f ( x ) = \sqrt { x ^ { 2 } - 4 }$
A) $D = [ 2 , \infty )$
B) $D = ( - \infty , - 2 ] \cup [ 2 , \infty )$
C) $D = [ - 2,2 ]$
D) $D = ( - \infty , - 2 ) \cup ( 2 , \infty )$

Question

Quizplus · Accepted Answer

The function $f(x) = \sqrt{x^2 - 4}$ requires the expression under the square root, $x^2 - 4$, to be greater than or equal to 0. This is true for $x \leq -2$ and $x \geq 2$, hence the domain is $(- \infty, -2] \cup [2, \infty)$.

Specify the Domain for the Function f(x)=x2−4f ( x ) = \sqrt { x ^ { 2 } - 4 }f(x)=x2−4​

Specify the Domain for the Function $f ( x ) = \sqrt { x ^ { 2 } - 4 }$