Find the Domain y=-1/2x-1

Problem

y=−1/(2*x−1)

Solution

1. Identify the type of function. This is a rational function, which is defined for all real numbers except where the denominator is equal to zero.

2. Set the denominator equal to zero to find the excluded values.

2*x−1=0

3. Solve for x by adding 1 to both sides.

2*x=1

4. Divide both sides by 2 to isolate x

x=1/2

5. Determine the domain by excluding this value from the set of all real numbers.

Final Answer

Domain: *{[x∈ℝ,x≠1/2]}

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