Find the domain of the given function.
-$$f ( x ) = \sqrt { 2 - x }$$
A) All real numbers
B) $( - \infty , 2 ) \cup ( 2 , \infty )$
C) $( \sqrt { 2 } , \infty )$
D) $( - \infty , 2 ]$

Question

Quizplus · Accepted Answer

The domain of the function $f(x) = \sqrt{2 - x}$ consists of all real numbers $x$ for which the expression under the square root, $2 - x$, is greater than or equal to 0. Solving the inequality $2 - x \geq 0$ gives $x \leq 2$, which corresponds to all real numbers less than or equal to 2. Therefore, the domain is $(- \infty, 2]$.

Find the Domain of the Given Function f(x)=2−xf ( x ) = \sqrt { 2 - x }f(x)=2−x​

Find the Domain of the Given Function $f ( x ) = \sqrt { 2 - x }$