Final answer:
The domain of the function f(x) = 1/(3x-4) is (-∞, 4/3) U (4/3, +∞) in interval notation.
Step-by-step explanation:
The domain of the function f(x) = 1/3x-4 can be determined by finding the values of x for which the function is defined. In this case, the function is defined for all values of x except for the value that makes the denominator equal to zero. So, we need to solve the equation 3x-4 = 0 to find the value to exclude from the domain.
Solving this equation, we get x = 4/3. Therefore, the domain of the function is (-∞, 4/3) U (4/3, +∞) in interval notation.
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