Find the Domain yx=x

Problem

y*x=x

Solution

1. Rewrite the equation to express y as a function of x by dividing both sides by x

y=x/x

2. Identify the restriction on the variable x because division by zero is undefined.

x≠0

3. Simplify the expression for y for all values where x is not zero.

y=1

4. Determine the domain by including all real numbers except for the value that makes the denominator zero.

Domain={[x∈ℝ,x≠0]}

Final Answer

Domain of *y*x=x* is *(−∞,0)∪(0,∞)

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