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Find the Domain y=-1/3x+7

Problem

y=−1/3*x+7

Solution

  1. Identify the type of function provided. The equation y=−1/3*x+7 is a linear function.

  2. Analyze the expression for any restrictions. Restrictions on the domain typically occur with divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

  3. Determine if any restrictions apply. Since this is a polynomial of degree 1, there are no denominators containing x and no radicals.

  4. Conclude that the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)


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