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What is the domain of the following function: f (x) = 4/x?

  1. All real numbers

  2. Positive real numbers

  3. Negative real numbers

  4. Non-zero real numbers

The correct answer is: Non-zero real numbers

The domain of a function refers to all the possible input values for which the function can be evaluated. In this case, the function f(x) = 4/x has restrictions on the denominator, x, which cannot equal 0. Therefore, the domain of the function is all non-zero real numbers. Option A, which includes all real numbers, is incorrect because x cannot equal 0. Option B, which specifies positive real numbers, is incorrect because the function can also be evaluated for negative values of x. Option C, which specifies negative real numbers, is incorrect for the same reason as option B.