Find the domain of x in the expression $\sqrt { 16 - x ^ { 2 } }$ .
A) $( - \infty , - 4 ] \cup [ 4 , \infty )$
B) $( - \infty , 4 ]$
C) $[ - 4,4 ]$
D) $[ - 4 , \infty )$
E) $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The expression under the square root, $16 - x^2$, must be greater than or equal to 0 for the square root to be real. Solving $16 - x^2 \geq 0$ gives $x^2 \leq 16$, which means $-4 \leq x \leq 4$. Therefore, the domain of $x$ is $[ - 4,4 ]$.

Find the Domain of X in the Expression 16−x2\sqrt { 16 - x ^ { 2 } }16−x2​

Find the Domain of X in the Expression $\sqrt { 16 - x ^ { 2 } }$