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Find the Domain -5x-5y=25

Problem

−5*x−5*y=25

Solution

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

  2. Solve for y to express the equation as a function of x

  3. Subtract −5*x from both sides.

−5*y=5*x+25

  1. Divide every term by −5

y=−x−5

  1. Analyze the resulting function ƒ(x)=−x−5 Since this is a polynomial (specifically a linear function), there are no values of x that cause division by zero or result in the square root of a negative number.

  2. Determine the domain. The function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)


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