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

Problem

(2*x)/(2*x+3)−(2*x)/(2*x−3)=1

Solution

1. Identify the denominators in the equation that contain the variable x

2. Set each denominator equal to zero to find the values that must be excluded from the domain, as division by zero is undefined.

3. Solve the first equation 2*x+3=0 for x

2*x=−3

x=−3/2

4. Solve the second equation 2*x−3=0 for x

2*x=3

x=3/2

5. State the domain as all real numbers except for the values that make the denominators zero.

Final Answer

Domain: *{x|x∈ℝ,x≠±3/2}

Want more problems? Check here!