Find the Domain |(2a-2)/(a+1)|

Problem

|(2*a−2)/(a+1)|

Solution

1. Identify the type of expression. The expression is a rational function contained within an absolute value.

2. Determine the restriction for the domain. For a rational expression, the denominator cannot be equal to zero because division by zero is undefined.

3. Set the denominator equal to zero to find the excluded value:

a+1=0

4. Solve for a by subtracting 1 from both sides:

a=−1

5. State the domain. The domain consists of all real numbers except for the value that makes the denominator zero.

Final Answer

Domain: *{[a∈ℝ,a≠−1]}

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