Find the domain of the function.
-$$f ( x ) = \sqrt { 25 - x }$$
A) $( - \infty , 25 ]$
B) $( - \infty , 25 ) \cup ( 25 , \infty )$
C) $( - \infty , 5 ]$
D) $( - \infty , 5 ) \cup ( 5 , \infty )$

Question

Quizplus · Accepted Answer

The domain of the function $f(x) = \sqrt{25 - x}$ includes all values of $x$ for which the expression under the square root, $25 - x$, is greater than or equal to 0. Solving the inequality $25 - x \geq 0$ gives $x \leq 25$. Therefore, the domain is all real numbers less than or equal to 25, which is represented by the interval $(- \infty , 25 ]$.

Find the Domain of the Function f(x)=25−xf ( x ) = \sqrt { 25 - x }f(x)=25−x​

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