Evaluate the radical function at the given value of the variable.
-$$f ( x ) = \sqrt { 2 - 4 x }$$
A) $\left( - \infty , \frac { 1 } { 2 } \right)$
B) $\left( - \infty , \frac { 1 } { 2 } \right]$
C) $\left[ - \frac { 1 } { 2 } , \infty \right)$
D) $\left[ \frac { 1 } { 2 } , \infty \right)$

Question

Quizplus · Accepted Answer

The expression under the square root, $2 - 4x$, must be non-negative. Solving $2 - 4x \geq 0$ gives $x \leq \frac{1}{2}$. Thus, the domain is $(- \infty, \frac{1}{2}]$.

Evaluate the Radical Function at the Given Value of the Variable