Find the Domain x/(x+1)+x+(x+1)/x=13/6

Problem

x/(x+1)+x+(x+1)/x=13/6

Solution

1. Identify the denominators in the equation that contain the variable x

2. Set each denominator to be non-zero, as division by zero is undefined in the set of real numbers.

3. Solve the first condition x+1≠0 to find that x≠−1

4. Solve the second condition x≠0 directly.

5. Combine these restrictions to define the set of all possible values for x

Final Answer

Domain:{[x∈ℝ,x≠−1,x≠0]}

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