The function f: x \(\to \sqrt{4 - 2x}\) is defined on the set of real numbers R. Find the domain of f.
Answer Details
The domain of a function is the set of all possible values of x for which the function is defined.
In the given function, we have a square root with an expression inside it. For the square root to be defined, the expression inside it must be non-negative.
Therefore, we need to solve the inequality:
\(4 - 2x \geq 0\)
Simplifying this inequality, we get:
\(2x \leq 4\)
\(x \leq 2\)
So the domain of the function f is all real numbers such that \(x \leq 2\).
Therefore, the correct answer is.