Final answer:
False, the domain of f(x) = log(x) is not the set of all real numbers, but rather the set of all positive real numbers since you cannot take the logarithm of a negative number or zero.
Step-by-step explanation:
The correct answer for whether the domain of f(x) = log(x) is the set of all real numbers is false. The domain of a logarithmic function such as f(x) = log(x) consists of all positive real numbers, meaning x must be greater than 0. This is because you cannot take the logarithm of a negative number or zero within the realm of real numbers. Consequently, the domain of this function is (0, ∞), not all real numbers.