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Find the Domain 7y-2x=0

Problem

7*y−2*x=0

Solution

  1. Identify the type of equation. This is a linear equation in two variables, x and y

  2. Solve for y in terms of x to express the relation as a function.

7*y=2*x

y=2/7*x

  1. Analyze the resulting function ƒ(x)=2/7*x This is a polynomial function (specifically a linear function).

  2. Determine the restrictions. Polynomial functions are defined for all real numbers because there are no denominators containing x that could be zero and no even roots of negative numbers.

  3. State the domain in interval notation. Since there are no restrictions, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)


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