Find the Domain y=7/2x-2

Problem

y=7/(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 adding 2 to 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}

Want more problems? Check here!