Find the domain of the function y = 3x-7.

The domain D (f) of the function y = 3x – 7 is called all admissible values of the argument (independent variable x). Invalid values include those values of x that, when substituted into a function formula, lead to division by zero or extracting an even root of a negative number.

In the function formula y = 3x – 7, the root is absent and there is no division operation, which means that invalid operations cannot work in any case. Therefore, x can take any values.

Answer: D (f) = (-∞; + ∞).

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