Find the domain of the function.
$g ( x ) = \sqrt { 25 - x ^ { 2 } }$
A) $- 5 \leq x \leq 5$
B) $x \leq - 5$ or $x \geq 5$
C) $x \geq 0$
D) $x \leq 5$
E) all real numbers

Question

Quizplus · Accepted Answer

The domain of $g(x) = \sqrt{25 - x^2}$ consists of all $x$ values for which the expression under the square root, $25 - x^2$, is greater than or equal to 0. Solving $25 - x^2 \geq 0$ gives $-5 \leq x \leq 5$, which corresponds to choice A.

Find the Domain of the Function g(x)=25−x2g ( x ) = \sqrt { 25 - x ^ { 2 } }g(x)=25−x2​

Find the Domain of the Function $g ( x ) = \sqrt { 25 - x ^ { 2 } }$