Find the domain of x in the expression. $\sqrt { 25 - x ^ { 2 } }$
A) $( - 25,25 )$
B) $$[ - 25,25 ]$$
C) $$( - 5,5 )$$
D) $[ - 5,25 )$
E) $[ - 5,5 ]$

Question

Find the domain of x in the expression.​ $\sqrt { 25 - x ^ { 2 } }$ ​
A) $( - 25,25 )$
B) $$[ - 25,25 ]$$
C) $$( - 5,5 )$$
D) $[ - 5,25 )$
E) $[ - 5,5 ]$

Quizplus · Accepted Answer

The expression under the square root, $25 - x^2$, must be greater than or equal to 0 for the square root to be defined in the real number system. Solving the inequality $25 - x^2 \geq 0$ leads to $-5 \leq x \leq 5$, which corresponds to the closed interval $[-5, 5]$.

Find the Domain of X in the Expression 25−x2\sqrt { 25 - x ^ { 2 } }25−x2​

Find the Domain of X in the Expression $\sqrt { 25 - x ^ { 2 } }$