Final answer:
The domain of the function f(x) = sqrt(5x - 4) is all real numbers greater than or equal to 4/5.
Step-by-step explanation:
To determine the domain of the function f(x) = sqrt(5x - 4), we need to consider the values of x that make the expression under the square root valid. In this case, the expression inside the square root, 5x - 4, must be greater than or equal to 0 since the square root requires a non-negative number. So, we set up the inequality: 5x - 4 >= 0. Solving for x, we get x >= 4/5. Therefore, the domain of the function is all real numbers greater than or equal to 4/5.
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