The function f: x \(\to \sqrt{4 - 2x}\) is defined on the set of real numbers R. Find the domain of f.

Assessment: WAEC SSCE - Further Mathematics - 2017 (Objective) Subject: Further Mathematics

Question 1 Report

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.
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