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 square root function is only defined for non-negative values. Therefore, we need to find the set of x values that make the expression inside the square root non-negative.

25 - x^2 ≥ 0
x^2 ≤ 25
-5 ≤ x ≤ 5

Therefore, the domain of the function is -5 ≤ x ≤ 5 or 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 $g ( x ) = \sqrt { 25 - x ^ { 2 } }$