Find the Domain (3x-7)/(2x+1)

Problem

(3*x−7)/(2*x+1)

Solution

1. Identify the condition for the domain of a rational function, which requires that the denominator cannot be equal to zero.

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

2*x+1=0

3. Solve for x by subtracting 1 from both sides of the equation.

2*x=−1

4. Divide both sides by 2 to isolate x

x=−1/2

5. State the domain as all real numbers except for the value that makes the denominator zero.

Final Answer

Domain:{x|x∈ℝ,x≠−1/2}

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