Find the Domain x=yx

Problem

x=y*x

Solution

1. Rearrange the equation to isolate terms involving x on one side.

x−y*x=0

2. Factor out the common variable x from the left side of the equation.

x*(1−y)=0

3. Analyze the relationship to determine if there are any restrictions on x The equation x=y*x is a linear relationship between x and y

4. Identify the domain. In the context of a function or relation where x is the independent variable, we look for values of x that would make the expression undefined. Since the equation x=y*x (or y=1 when x≠0 consists of simple multiplication and subtraction, there are no square roots of negative numbers, logarithms of non-positive numbers, or divisions by zero involving x that restrict its values.

5. Conclude that x can be any real number.

Final Answer

Domain:(−∞,∞)

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