Find the Domain y=1/2x+2

Problem

y=1/(2*x+2)

Solution

1. Identify the restriction for a rational function, which is that the denominator cannot be equal to zero.

2. Set the denominator expression equal to zero to find the excluded values of x

2*x+2=0

3. Solve for x by subtracting 2 from both sides of the equation.

2*x=−2

4. Divide both sides by 2 to isolate x

x=−1

5. Determine the domain by excluding the value that makes the denominator zero. The domain consists of all real numbers except x=−1

Final Answer

Domain: *{x|x∈ℝ,x≠−1}

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