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Find the Domain x/5-y/4=1

Problem

x/5−y/4=1

Solution

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

  2. Analyze the expression for restrictions. The domain of a relation or function is the set of all possible input values (x for which the expression is defined.

  3. Check for denominators containing x The only denominator associated with x is the constant 5 Since 5≠0 there are no values of x that would cause division by zero.

  4. Check for radicals or logarithms. There are no square roots of negative numbers or logarithms of non-positive numbers to consider.

  5. Determine the domain. Since there are no restrictions on the variable x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)


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