Final answer:
To determine the domain of f(x) = √ (4x - 2), we solve the inequality 4x - 2 ≥ 0, which results in x ≥ ½. Thus, the domain is all real numbers greater than or equal to ½.
Step-by-step explanation:
To find the domain of the function f(x) = √ (4x - 2), we need to consider the values of x for which the expression under the square root is non-negative, since the square root of a negative number is not a real number. The expression under the square root is 4x - 2. For the domain, we require this expression to be greater than or equal to 0.
Setting up the inequality:
4x - 2 ≥ 0
Add 2 to both sides:
4x ≥ 2
Divide both sides by 4:
x ≥ ½
Therefore, the domain of f(x) is all real numbers greater than or equal to ½.