Find the Domain x^2-x+1÷(x^2)+x+1=(14(x-1))÷13(x+1)

Problem

x^2−x+1/(x^2)+x+1=(14*(x−1))/(13*(x+1))

Solution

1. Identify the denominators in the equation to determine where the expression is undefined.

2. Set the first denominator x^2 to zero to find the values that must be excluded from the domain.

x^2=0

3. Solve for x in the first denominator.

x=0

4. Set the second denominator $13(x + 1)$ to zero to find additional excluded values.

13*(x+1)=0

5. Solve for x in the second denominator.

x+1=0

x=−1

6. Combine the restrictions to state the domain, which includes all real numbers except those that make any denominator zero.

Final Answer

Domain: *{[x∈ℝ,x≠0,x≠−1]}

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